2PI effective action for the SYK model and tensor field theories - Archive ouverte HAL
Article Dans Une Revue Journal of High Energy Physics Année : 2018

2PI effective action for the SYK model and tensor field theories

Dario Benedetti
  • Fonction : Auteur

Résumé

A bstract We discuss the two-particle irreducible (2PI) effective action for the SYK model and for tensor field theories. For the SYK model the 2PI effective action reproduces the bilocal reformulation of the model without using replicas . In general tensor field theories the 2PI formalism is the only way to obtain a bilocal reformulation of the theory, and as such is a precious instrument for the identification of soft modes and for possible holographic interpretations. We compute the 2PI action for several models, and push it up to fourth order in the 1 /N expansion for the model proposed by Witten in [1], uncovering a one-loop structure in terms of an auxiliary bilocal action.

Dates et versions

hal-04457013 , version 1 (14-02-2024)

Identifiants

Citer

Dario Benedetti, Razvan Gurau. 2PI effective action for the SYK model and tensor field theories. Journal of High Energy Physics, 2018, 2018 (5), pp.156. ⟨10.1007/JHEP05(2018)156⟩. ⟨hal-04457013⟩
5 Consultations
0 Téléchargements

Altmetric

Partager

More