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Upcoming Seminars [Next 30 ]
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Thursday 20 September 2018, 11:00 at CPHT, Aile 0 SEM-CPHT (Séminaire du CPHT) hep-th
Rodrigo Olea ( University Andres Bello ) Holographic Entanglement Entropy and Topological Terms
Abstract: We consider the renormalization of holographic entanglement entropy (HEE) for Conformal Field Theories in odd dimensions, dual to Einstein gravity with negative cosmological constant in one dimension higher. We make explicit the equivalence between renormalized entropy and the renormalized area of the entangling surface. In particular, for constant-curvature surfaces, HEE is fully determined in terms of a single topological number (Euler characteristic).

Friday 21 September 2018, 13:45 at DPT-PHYS-ENS, Collège de France- Salle 5 SEM-PHYS-ENS (Colloquium du Département de Physique de l'ENS) quant-ph
Edward Hinds ( Imperial College London ) Magneto-optical trapping and sub-Doppler cooling of molecules
Abstract: Atomic physics has been revolutionised by the introduction of laser techniques to cool atoms far below the Doppler limit. Now, it has become possible to laser cool molecules, to collect them in a magneto-optical trap, to cool them below the Doppler limit [1,2] and to trap them with modest magnetic fields [3]. These ultracold molecules open up a wide vista of future applications. To give a few examples, they can be optically or magnetically trapped to form arrays for quantum simulation, they can make a molecular fountain for testing fundamental physics at unprecedented levels of sensitivity, and they open a new energy range for the study of ultracold collisions and ultracold chemistry. I will review the current status of this field.

Friday 21 September 2018, 14:00 at APC, 454A APC-COLLOQUIUM (Colloquium de l'APC) astro-ph
Darren Grant ( University of Alberta, Canada ) Ghosts in the ice - Searching for the Universe's most elusive particles at the South Pole
Abstract: In some of the planet's most extreme environments scientists are constructing enormous detectors to study the very rare interactions produced by neutrinos. In particular, at South Pole Station Antarctica more than a cubic kilometer of the deep glacial ice has been instrumented to construct the world's largest neutrino detector to date: the IceCube Neutrino Observatory. Designed to detect the highest energy neutrinos expected to be produced in the most violent astrophysical processes, IceCube has established a vibrant scientific program that has begun to revolutionize the fields of particle and astro-physics. In this talk I will present some of the most recent results from this new window to the Universe, and will discuss the plans underway to significantly enhance its long-term future reach.

Monday 24 September 2018, 10:45 at LPTMC, Jussieu tower 12-13 room 5-23 SEM-LPTMC (Séminaire du Laboratoire de Physique Théorique de la Matière Condensée) cond-mat.mes-hall
Sophie Marbach ( LPS-ENS ) Out-of-equilibrium Transport of Particles within Fluctuating Nanotubes
Abstract: In Nature exceptional permeability and selectivity properties are reached, for example ion channels are able to distinguish with high throughput very similar ions like Sodium and Potassium. The paradigm change as compared to nanoscale technology is that these biological filters are out-of-equilibrium, submitted to either thermal or active fluctuations – for example of the pore constriction. Here we investigate how out-of-equilibrium fluctuations of a pore may affect the translocation dynamics, in particular dispersion coefficients. Our findings demonstrate a complex interplay between transport and surface wiggling and elucidate the impact of pore agitation in a broad range of artificial and biological porins, but also, at larger scales, in vascular motion in fungi, intestinal contractions and microfluidic surface waves. These results open up the possibility that transport across membranes can be actively tuned by external stimuli, with potential applications to nanoscale pumping, osmosis and dynamical ultrafiltration.
Attachments:
  • Abstract_Marbach_LPTMC2018.pdf (267342 bytes) OPEN

Monday 24 September 2018, 11:00 at IPHT, Salle Claude Itzykson, Bât. 774 IPHT-PHM (Séminaire de physique mathématique) math-ph
Ilmar Gahramanov ( IHES ) Progress in integrable models of statistical mechanics inspired by supersymmetric gauge theories
Abstract: Recently, there has been observed several connections of integrable models to supersymmetric gauge theories and special functions of hypergeometric type. One of such connections is a correspondence between supersymmetric quiver gauge theories and integrable lattice models such that the integrability emerges as a manifestation of supersymmetric dualities. Particularly, partition functions of supersymmetric quiver gauge theories with four supercharge on different manifolds can be identified with partition functions of two-dimensional exactly solvable statistical models. This relationship has led to the construction of new exactly solvable models of statistical mechanics, namely the Yang-Baxter equation was solved in terms of new special functions. In the talk, I will review this progress and present some new solutions of the Yang-Baxter equation.

Monday 24 September 2018, 13:30 at LPA, Conf IV- E244 LPA (Séminaire du laboratoire Pierre Aigrain) cond-mat
Giacomo Mazza ( Centre de Physique Theorique, Ecole Polytechnique ) Strong light-matter coupling and collective phenomena in quantum materials
Abstract: Collective phenomena originating from interactions between light and matter have become a major focus of interest spanning different fields of research. Quantum materials represent ideal test beds for the investigation of novel phenomena induced by the light-matter interaction. By allowing the creation of entangled quantum states of light and collective matter excitations, cavity quantum electrodynamics offers a fascinating platform in this context. In this talk I will discuss how a cooperative effect between long-range correlations induced by the light-matter interaction and strong electron interactions intrinsic to quantum materials can lead to the stabilization of coherent phases of light and matter. By studying a simple model of interacting electrons coupled to a single mode cavity field I will show that a phase characterized by the simultaneous condensation of excitons and photon superradiance, the “superradiant excitonic insulator" (SXI) can be realized. Superradiance cannot be reached in the absence of electronic interactions. At the same time coupling with the cavity field promotes excitonic condensation in regimes of temperature and interaction where it cannot be stabilized in the absence of light-matter coupling. Therefore the SXI intertwines excitonic condensation and superradiance in conditions where the two phases cannot be individually stabilized in the absence of such cooperative effect. I will discuss probes as photon spectra and optical conductivity of the hybrid light-matter system.

Tuesday 25 September 2018, 11:00 at LPTMS, LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay LPTMS (Séminaire du Laboratoire de Physique Théorique et Modèles Statistiques (Orsay)) physics
Arthur Goetschy ( Institut Langevin, ESPCI ) Optimizing energy transfer and dwell times in disordered systems: a statistical approach
Abstract: When a wave such as light propagates through a disordered system, it is scattered many times in various directions before escaping. At first sight, this process is well described by diffusion. However, diffusion neglects interferences, making us believe that the information content of a wave is progressively lost through spreading. This picture is incorrect. In fact, multiple scattering is a linear process that redistributes information among many degrees of freedom which can nowadays be resolved and manipulated. In this talk, we will give an overview of different strategies to achieve original light transport properties in open disordered systems that deviate both from the diffusive picture and the Gaussian field model. First, we will characterize the statistical properties of the transmission matrix to demonstrate large energy transfer or focusing through nominally opaque media [1, 2]. Then, we will discuss how to achieve similar performance in transmission by means of the reflection matrix only [3, 4]. Finally, we will characterize the distribution of scattering times, in order to generate excitations with particularly short or long dwell times. References: [1] A. Goetschy and A. D. Stone, Filtering Random Matrices: The Effect of Incomplete Channel Control in Multiple Scattering, Phys. Rev. Lett. 111, 063901 (2013) [2] C. W. Hsu, S. F. Liew, A. Goetschy, H. Cao, and A. D. Stone, Correlation-enhanced control of wave focusing in disordered media, Nature Phys. 13, 497 (2017) [3] N. Fayard, A. Goetschy, R. Pierrat and R. Carminati, Mutual Information between Reflected and Transmitted Speckle Images, Phys. Rev. Lett. 120, 073901 (2018) [4] I. Starshynov, A. M. Paniagua-Diaz, N. Fayard, A. Goetschy, R. Pierrat, R. Carminati and J. Bertolotti, Non-Gaussian Correlations between Reflected and Transmitted Intensity Patterns Emerging from Opaque Disordered Media, Phys. Rev. X 8, 021041 (2018)

Tuesday 25 September 2018, 14:00 at APC, 646 A - Mondrian APC-TH (Seminar of the theory group of APC) hep-th
Suratna Das ( IIT Kanpur ) The `unitarity problem' of Higgs inflation in the light of collapse dynamics
Abstract: Higgs Inflation is no doubt one of the most favoured models of inflation in present time. But the huge non- minimal coupling of the Higgs field with gravity required for the model to work often raises concern which is dubbed as the 'unitarity problem' of Higgs inflation. We will show that CSL-like collapse dynamics, otherwise applied to inflationary dynamics in order to explain the quantum-to-classical transition of primordial quantum modes, can bring down the value of non-minimal coupling considerably.

Tuesday 25 September 2018, 16:00 at IPHT, Salle Claude Itzykson, Bât. 774 IPHT-HEP (Séminaire de physique des particules et de cosmologie) hep-ph
Shinji Mukohyama ( Kyoto U., Yukawa Inst., Kyoto ) Minimalism in modified gravity
Abstract: It is generally believed that modification of general relativity inevitably introduce extra physical degree(s) of freedom. In this talk I argue that this is not the case by constructing modified gravity theories with two local physical degrees of freedom. After classifying such theories into two types, I show explicit examples and discuss their cosmology and phenomenology.

Wednesday 26 September 2018, 10:00 at LPTM, MIR Neuville 1 rue Descartes, 95000 Neuville-sur-Oise.
( https://www.u-cergy.fr/fr/laboratoires/labo-lptm/actualites-du-laboratoire/quant2018.html )
WORK-CONF (Workshop or Conference) math-ph
Diamanti, Estève, Sayrin, Bruneau, Andriyanova, Shlyapnikov, Larré, .... Quantum Information, Communication and computing
Abstract: The Laboratoire de Physique Théorique et Modélisation (LPTM) organises a three-day workshop aiming at bringing together specialists in quantum technologies and the members of the computer sciences, mathematics and physics laboratories of the University of Cergy-Pontoise. This event is associated with the activities of the Institut d'études avancées (IEA) and the foreseen curriculum development on the subject.

Wednesday 26 September 2018, 13:45 at DPT-PHYS-ENS, Jussieu - Tour 13-23 - 2e étage, salle 210. SEM-PHYS-ENS (Colloquium du Département de Physique de l'ENS) quant-ph
Holger Müller ( Berkeley ) Measurement of the fine structure constant as test of the standard model
Abstract: Measurements of the fine-structure constant are powerful tests of the consistency of theory and experiment in physics. Using the recoil frequency of cesium-133 atoms in a matter-wave interferometer, we recorded a measurement of the fine-structure constant α = 1/137.035999046(27) at 0.20 parts per billion accuracy using multiphoton interactions such as Bragg diffraction and Bloch oscillations. Comparison with Penning trap measurements of the electron gyromagnetic anomaly via the Standard Model of particle physics has implications for dark-sector candidates and electron substructure. We will close with an outlook on future applications of matterwave interferometry.

Wednesday 26 September 2018, 14:15 at IPHT, Salle Claude Itzykson, Bât. 774 IPHT-MAT (Séminaire de matrices, cordes et géométries aléatoires) hep-th
Johan Blåbäck ( Roma ) A survey of black-hole shells

Thursday 27 September 2018, 10:00 at IHP, 314 RENC-THEO (Rencontres Théoriciennes) hep-th
Alexander Zhiboedov ( CERN ) TBA

Thursday 27 September 2018, 11:40 at IHP, 314 RENC-THEO (Rencontres Théoriciennes) hep-th
Alexandros Kehagias ( National Technical University of Athens ) Clockwork Supergravity
Abstract: The minimal D = 5, N = 2 gauged supergravity will be discussed in relation to the recently proposed clockwork mechanism. The minimal embedding requires one vector multiplet in addition to the supergravity multiplet and the clockwork scalar is identified with the scalar in the vector multiplet. The scalar has a two-parameter potential and it can accommodate the clockwork, the Randall-Sundrum and a no-scale model with a flat potential, depending on the values of the parameters. The continuous clockwork background breaks half of the original supersymmetries, leaving a D = 4, N = 1 theory on the boundaries.generating power-law hierarchies.

Thursday 27 September 2018, 16:00 at LPT, 114 LPT-PTH (Particle Theory Seminar of LPT Orsay) hep-ph
Jay Hubisz ( Syracuse U. ) Self-Organized Higgs Criticality
Abstract: I will discuss an approach to the scalar hierarchy problem that draws on concepts that have so far been primarily applied to certain dynamical systems. These are systems that are naturally driven to critical points and are maintained there by dynamical internal adjustment (i.e. by avalanche phenomena, slippage, etc). Motivated in part by conjecture and experimental hints that some such systems exhibit log periodic scaling associated with complex valued scaling dimensions, I will discuss a 5 dimensional dual to a renormalization group trajectory that runs towards a regime of approximate discrete scale invariance. Such behavior is forbidden as a "healthy" trajectory, and is dual to an emergent Breitenlohner-Freedman tachyon instability for scalar fields in AdS space. We explore how bulk 5D physics responds to this instability, and how this model might simultaneously relate to the lightness of the Higgs and issues of cosmology through a mechanism akin to frustration in condensed matter systems.

Friday 28 September 2018, 11:00 at LPTHE, Bibliothèque SEM-LPTHE (Séminaire du LPTHE) cond-mat.stat-mech
Pierre Fromholz ( LPTM Cergy ) Haldane phases (and more) with ultra-cold fermions in double-well optical lattices
Abstract: Topological phases exist beyond the standard Ginzburg-Landau paradigm that dominated the understanding of phases and phase transitions in condensed matter systems. Paradigmatic examples have been derived to establish a new theoretical basis that takes into consideration these topological aspects. The spin 1 Haldane phase is one of them for the unidimensional case. The seminar presents a way to implement this phase as well as its suggested generalizations by focusing using ultracold fermionic alkaline-earth atoms, that involve an internal SU(N) symmetry. The model describing the experiment is called the double-well model and depicts a lattice of two interacting chains. The model is analysed at weak coupling, strong coupling and using a numerical tool : DMRG.

Friday 28 September 2018, 14:15 at IPHT, Itzykson SEM-EXCEP (Séminaire exceptionel) hep-th
Alexander Zhiboedov ( CERN ) TBA

Monday 1 October 2018, 10:45 at LPTMC, Jussieu tower 12-13 room 5-23 SEM-LPTMC (Séminaire du Laboratoire de Physique Théorique de la Matière Condensée) cond-mat.mes-hall
Nicolas Behr ( IRIF (Paris-Diderot) & LPTMC (Sorbonne Université) ) Stochastic Mechanics of Graph Rewriting Systems for Physicists
Abstract: Consider a statistical system evolving on a state space of graphical structures, such as e.g. a social network system. Given a set of transitions on such a system, where each transition consists of a local transformation pattern applied at random to the system's state (e.g. adding a new edge, deleting an edge,...), one may define a continuous-time Markov chain in order to study the stochastic evolution of the system. Our novel approach to this problem involves an extension of Doi's description of chemical reaction systems in terms of boson creation and annihilation operators (which later evolved into the Doi-Peliti formalism) to a general stochastic mechanics framework based on the idea of so-called rule algebras. Assuming no prior familiarity with the underlying concept of graph rewriting and related mathematics, I will give an introduction to the formalism and present a number of application examples.

Monday 1 October 2018, 11:00 at IPHT, Salle Claude Itzykson, Bât. 774 IPHT-PHM (Séminaire de physique mathématique) math-ph
Ivan Dornic ( SPEC, CEA/Saclay ) A tale of Pfaffian persistence tails told by a Painlevé VI transcendent
Abstract: We identify the  persistence probability for the spin located at the origin of a half-space magnetized Glauber-Ising chain as a Fredholm Pfaffian gap probability generating function with a sech-kernel. This is then recast as  a tau-function for a certain Painlevé VI transcendent --- a sort of exact Kramers' formula  for the associated explicitely  time-dependent Hamiltonian ---  where the persistence exponent emerges as an asymptotic decay rate. By a  known yet remarkable correspondence that relates Painlevé equations to Bonnet surfaces, the persistence probability has also a geometric meaning à la Gauss-Bonnet in terms of the intrinsic curvature of the underlying surface. Since the same  sech-kernel with an underlying Pfaffian structure shows up in a variety of Gaussian first-passage problems, our Painlevé VI characterization appears as a  universal probability distribution akin to the famous Painlevé II Tracy-Widom laws. Its tail behavior  in the magnetization-symmetric case allows in particular to recover the exact value 3/16 for the persistence exponent of a 2d diffusing random field, as found very recently by Poplavskyi and Schehr (arXiv:1806.11275). Due to its topological origin, this value should constitute the super-universal persistence exponent for the coarsening of a non-conserved scalar order parameter in two space dimensions.

Monday 1 October 2018, 14:15 at IPHT, Salle Claude Itzykson, Bât. 774 IPHT-MAT (Séminaire de matrices, cordes et géométries aléatoires) hep-th
Raffaele Savelli ( IFT, Madrid ) SUSY enhancement from T-branes
Abstract: (TBA)

Tuesday 2 October 2018, 11:30 at LPTENS, LPTENS library STR-LPT-ENS-HE (Séminaire commun LPTENS/LPTHE) hep-th
Yuta Sekiguchi ( University of Bern ) TBA

Tuesday 2 October 2018, 14:00 at APC, 412 B - Rothko APC-TH (Seminar of the theory group of APC) hep-th
Emilian Dudas ( CPHT - Ecole Polytechnique ) TBA

Friday 5 October 2018, 10:00 at IPHT, Salle Claude Itzykson, Bât. 774
( https://courses.ipht.cnrs.fr/?q=en/node/220 )
COURS (Cours) astro-ph|gr-qc
Thibault Damour ( IHES ) From Classical Gravity to Quantum Amplitudes (1/4)
Abstract: The recent observation of gravitational wave signals from inspiralling and coalescing binary black holes has been significantly helped, from the theoretical side, by the availability of analytical results on the motion and gravitational radiation of binary systems. \par The course will deal with the Effective One-Body (EOB) theory of the motion and radiation of binary systems, and explain the links between this formalism and various classical and quantum approaches to gravitationally interacting two-body systems, from traditional post-Newtonian computations of the effective two-body action to quantum gravitational scattering amplitudes. \par The following analytical techniques will be reviewed ab initio: \\ 1 - Matched Asymptotic Expansions approach to the motion of black holes and neutron stars; \\ 2 - post-Newtonian theory of the motion of point particles; \\ 3 - Multipolar post-Minkowskian theory of the gravitational radiation of general sources; \\ 4 - Effective One-Body (EOB) theory of the motion and radiation of binary systems. \par The EOB formalism was initially based on a resummation of post-Newtonian-expanded results. The post-Newtonian approach assumes small gravitational potentials and small velocities, and loses its validity during the last orbits before the merger of black holes. The resummed EOB approach was able to extend the validity of the post-Newtonian description of the motion and radiation of binary black holes to the strong-field, high-velocity regime reached during the last orbits, and the merger. EOB theory initially used a dictionary to translate post-Newtonian-expanded results on (slow-motion) bound states of gravitationally interacting binary systems into the (resummed) Hamiltonian of a particle moving in an effective external gravitational field. \par The second part of the course will present the recent extension of EOB theory to the description of (classical) scattering states within the post-Minkowskian approach which does not assume that velocities are small. This led to new insights in the high-energy limit of gravitational scattering and opened the way to transcribe quantum gravitational scattering amplitudes into their EOB Hamiltonian description. For instance, some two-loop ultra high-energy quantum scattering results of Amati, Ciafaloni and Veneziano could be transcribed into an improved knowledge of the high-energy limit of the classical gravitational interaction of two black holes. This leads also to interesting predictions about a linear-Regge-trajectory behavior of high-angular-momenta, high-energy circular orbits.
Attachments:
  • 2018_Damour.pdf (4806153 bytes) OPEN

Friday 5 October 2018, 11:00 at APC, TBA APC-COLLOQUIUM (Colloquium de l'APC) astro-ph
Michel Crézé ( APC ) L’invention de la Voie Lactée
Abstract: Disséquée par la lunette de Galilée, la Voie Lactée perdait, avec son mystère, son identité d’objet céleste, elle n’était plus qu’un « tas d’étoiles ». Au fil d’une relecture de quelques contributions qui jalonnent les quatre siècles écoulés, on voudrait montrer le cheminement d’idées et d'observations par où l’objet physique « Voie Lactée » a ré-émergé lentement, de l’intérieur. Non seulement comme concept, mais comme système mesurable, lié par la gravitation, avant qu’on y reconnaisse l'écosystème premier, la matrice des matrices, la mère des mondes planétaires, l'unité de production de la complexité, et qu’on lui cherche des géniteurs dans l'avant incertain des fluctuations primordiales, tout près du commencement.

Monday 8 October 2018, 14:00 at IPHT, Salle Claude Itzykson, Bât. 774 IPHT-STA (Séminaire de Physique Statistique, CEA/Saclay) cond-mat
Satya Majumdar ( LPTMS Orsay ) Kinetic energy of a trapped Fermi gas at finite temperature
Abstract: We study the statistics of the kinetic (or equivalently potential) energy for $N$ non-interacting fermions in a 1d harmonic trap of frequency $\omega$, at finite temperature $T$. Remarkably, we find an exact solution for the full distribution of the kinetic energy, at any temperature $T$ and for any $N$. As a function of temperature $T$, and for large $N$, we identify: (i) a quantum regime, for $T \sim \hbar\omega$, where quantum fluctuations dominate and (ii) a thermal regime, for $T \sim N \hbar \omega$, governed by thermal fluctuations. We show how the mean, the variance, as well as the large deviation function associated with the distribution of the kinetic energy cross over from the quantum to the thermal regime as $T$ increases. \\ \\ J. Grela, S.N. Majumdar, G. Schehr, Phys. Rev. Lett., 119, 130601 (2017) \\ A. Grabsch, S.N. Majumdar, G. Schehr, C. Texier, SciPost Phys. 4, 014 (2018)

Tuesday 9 October 2018, 11:00 at LPTMS, LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay LPTMS (Séminaire du Laboratoire de Physique Théorique et Modèles Statistiques (Orsay)) physics
Pierre Ronceray ( Princeton Center for Theoretical Science ) Learning force fields from stochastic trajectories
Abstract: From nanometer-scale proteins to micron-scale colloidal particles, particles in biological and soft matter systems undergo Brownian dynamics: their deterministic motion due to external forces and interactions competes with the random diffusion due to thermal noise. In the absence of forces, all trajectories look alike: the key information characterizing the system’s dynamics thus lies in its force field. However, reconstructing the force field by inspecting microscopy observations of the system’s trajectory is a hard problem, for two reasons. First, there needs to be enough information about the force available in the trajectory: the effect of the force field becomes apparent only after a long enough observation time. Second, one needs a practical method to extract that information and reconstruct the force field, which is challenging for force fields with a spatial structure, in particular in the presence of measurement noise. Here we address these two problems for steady-state Brownian trajectories. We first give a quantitative meaning to the information contained in a trajectory, and show how it limits force inference. We then propose a practical procedure to optimally use this information to reconstruct the force field by decomposing it into moments. Using simple model stochastic processes, we demonstrate that our method permits a quantitative evaluation of phase space forces and currents, circulation, and entropy production with a minimal amount of data.

Tuesday 9 October 2018, 15:00 at LPTENS, LPTENS library
( Unusual time. )
STR-LPT-ENS-HE (Séminaire commun LPTENS/LPTHE) hep-th
Nissan Itzhaki ( Tel Aviv University ) TBA

Wednesday 10 October 2018, 14:00 at IPHT, Amphi Claude Bloch, Bât. 774 SOUTEN-TH (Soutenance de thèse) physics
Santiago Migliaccio ( IPhT ) (TBA)

Wednesday 10 October 2018, 14:45 at IPHT, Salle Claude Itzykson, Bât. 774 IPHT-MAT (Séminaire de matrices, cordes et géométries aléatoires) hep-th
Daniel Mayerson ( IPhT ) (TBA)
Abstract: (TBA)

Friday 12 October 2018, 10:00 at IPHT, Salle Claude Itzykson, Bât. 774
( https://courses.ipht.cnrs.fr/?q=en/node/220 )
COURS (Cours) astro-ph|gr-qc
Thibault Damour ( IHES ) From Classical Gravity to Quantum Amplitudes (2/4)
Abstract: The recent observation of gravitational wave signals from inspiralling and coalescing binary black holes has been significantly helped, from the theoretical side, by the availability of analytical results on the motion and gravitational radiation of binary systems. \par The course will deal with the Effective One-Body (EOB) theory of the motion and radiation of binary systems, and explain the links between this formalism and various classical and quantum approaches to gravitationally interacting two-body systems, from traditional post-Newtonian computations of the effective two-body action to quantum gravitational scattering amplitudes. \par The following analytical techniques will be reviewed ab initio: \\ 1 - Matched Asymptotic Expansions approach to the motion of black holes and neutron stars; \\ 2 - post-Newtonian theory of the motion of point particles; \\ 3 - Multipolar post-Minkowskian theory of the gravitational radiation of general sources; \\ 4 - Effective One-Body (EOB) theory of the motion and radiation of binary systems. \par The EOB formalism was initially based on a resummation of post-Newtonian-expanded results. The post-Newtonian approach assumes small gravitational potentials and small velocities, and loses its validity during the last orbits before the merger of black holes. The resummed EOB approach was able to extend the validity of the post-Newtonian description of the motion and radiation of binary black holes to the strong-field, high-velocity regime reached during the last orbits, and the merger. EOB theory initially used a dictionary to translate post-Newtonian-expanded results on (slow-motion) bound states of gravitationally interacting binary systems into the (resummed) Hamiltonian of a particle moving in an effective external gravitational field. \par The second part of the course will present the recent extension of EOB theory to the description of (classical) scattering states within the post-Minkowskian approach which does not assume that velocities are small. This led to new insights in the high-energy limit of gravitational scattering and opened the way to transcribe quantum gravitational scattering amplitudes into their EOB Hamiltonian description. For instance, some two-loop ultra high-energy quantum scattering results of Amati, Ciafaloni and Veneziano could be transcribed into an improved knowledge of the high-energy limit of the classical gravitational interaction of two black holes. This leads also to interesting predictions about a linear-Regge-trajectory behavior of high-angular-momenta, high-energy circular orbits.
Attachments:
  • 2018_Damour.pdf (4806309 bytes) OPEN

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