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

• Verfasst von: Benedetti, Dario [VerfasserIn]
• Verfasst von: Gurǎu, Rǎzvan [VerfasserIn]
• Titel: 2PI effective action for the SYK model and tensor field theories
• Verf.angabe: Dario Benedetti and Razvan Gurau
• Ausgabe: Version v2
• E-Jahr: 2018
• Jahr: 1 Mar 2018
• Umfang: 38 S.
• Fussnoten: Version 1 vom 15. Februar 2018, Version 2 vom 1. März 2018 ; Gesehen am 06.10.2022
• Titel Quelle: Enthalten in: De.arxiv.org
• Ort Quelle: [S.l.] : Arxiv.org, 1991
• Jahr Quelle: 2018
• Band/Heft Quelle: (2018), Artikel-ID 1802.05500, Seite 1-38
• DOI: doi:10.48550/arXiv.1802.05500
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: General Relativity and Quantum Cosmology
• Sach-SW: High Energy Physics - Theory
• K10plus-PPN: 1804448893

Abstract

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 arXiv:1610.09758, uncovering a one-loop structure in terms of an auxiliary bilocal action.