|
Statut |
Confirmé |
|
Série |
RENC-THEO |
|
Domaines |
hep-th |
|
Date |
Jeudi 6 Mai 2021 |
|
Heure |
10:00 |
|
Institut |
IHP |
|
Salle |
https://zoom.us/j/97507124810 (pwd= 1234) |
|
Nom de l'orateur |
Hellerman |
|
Prenom de l'orateur |
Simeon |
|
Addresse email de l'orateur |
simeon [dot] hellerman [dot] 3 [at] gmail [dot] com |
|
Institution de l'orateur |
Tokyo University, IPMU |
|
Titre |
How Different Is More? : Precision correlators at large R-charge |
|
Résumé |
Building up macroscopic physics from microscopic constituents is an idea as old as
theoretical physics itself, and has been a perennial theme in quantum theory
beginning with Bohr's correspondence principle and onward through the modern
renormalization group. Recently there has been a semi-organized effort at
applying this principle to strongly coupled conformal field theory, developing
asymptotic series in inverse powers of a large quantum number as a systematic
approximation scheme whose leading-order term is the familiar macroscopic limit.
I will discuss this idea in the case of N=2 superconformal gauge theory in four
dimensions, where it is possible to compute the large-quantum-number asymptotic
series to all orders and even a hyperasymptotic series for the exponentially small
corrections to it that are associated with the leading qualitative breakdown of
the naive macroscopic picture. The results quite easily yield approximations
accurate to 4-6 significant digits for quantum numbers of order 1, to 15
significant digits or better for quantum numbers of order 100. I will discuss the
implications for one's general picture of the large-scale structure of theory
space. |
|
Numéro de preprint arXiv |
|
|
Commentaires |
|
|
Fichiers attachés |
- paris-saclay-talk-Hellerman.pdf (1175888 bytes)
|