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

DOI10.1007/JHEP05(2018)156zbMATH Open1391.81116arXiv1802.05500WikidataQ129803512 ScholiaQ129803512MaRDI QIDQ1651178

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Publication date: 11 July 2018

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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.

Full work available at URL: https://arxiv.org/abs/1802.05500

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