Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series LPTMS
Subjects cond-mat.stat-mech
Date Tuesday 4 October 2022
Time 14:00
Institute LPTMS
Seminar Room Salle des séminaires du FAST et du LPTMS, bâtiment Pascal n°530
Speaker's Last Name Trevisani
Speaker's First Name Emilio
Speaker's Email Address
Speaker's Institution IPhT
Title Random field models and Parisi-Sourlas supersymmetry
Abstract Quenched disorder is very important but notoriously hard. In 1979, Parisi and Sourlas proposed an interesting and powerful conjecture about the infrared fixed points with random field (RF) type of disorder: such fixed points should possess an unusual supersymmetry, by which they reduce in two less spatial dimensions to usual non- supersymmetric non-disordered fixed points. The conjecture is known to hold for the RF phi^3 model but not for RF phi^4 model in d < 5 dimensions, however there is no consensus on why this happens. We argue that: 1) dimensional reduction works for any Parisi-Sourlas SUSY fixed point; 2) the SUSY fixed point is not always reached because of new relevant SUSY-breaking interactions. We attack the point 1) using axiomatic CFT techniques while we study the point 2) using the perturbative renormalization group in a judiciously chosen field basis, allowing systematic exploration of the space of interactions. Our computations agree with the numerical results for both cubic and quartic potential.
arXiv Preprint Number
Comments **UNUSUAL TIME** Hybrid: onsite seminar + zoom. For zoom info, please write to valentina.ros@universite- paris-saclay.fr or check LPTMS website
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