2PI effective action for the SYK model and tensor field theories
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 o...
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| Main Authors: | , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
1 Mar 2018
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| Edition: | Version v2 |
| In: |
Arxiv
Year: 2018, Pages: 1-38 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/1802.05500
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| Author Notes: | Dario Benedetti and Razvan Gurau |
| Summary: | 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. |
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| Item Description: | Version 1 vom 15. Februar 2018, Version 2 vom 1. März 2018 Gesehen am 06.10.2022 |
| Physical Description: | Online Resource |