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Chaotic Correlation Functions with Complex Fermions

by Ritabrata Bhattacharya, Dileep P. Jatkar, Arnab Kundu

Submission summary

As Contributors: Ritabrata Bhattacharya
Preprint link: scipost_202005_00008v1
Date submitted: 2020-05-19
Submitted by: Bhattacharya, Ritabrata
Submitted to: SciPost Physics
Discipline: Physics
Subject area: High-Energy Physics - Theory
Approach: Theoretical

Abstract

We study correlation functions in the complex fermion SYK model. We focus, specifically, on the h = 2 mode which explicitly breaks conformal invariance and exhibits the chaotic behaviour. We explicitly compute fermion six-point function and extract the corresponding six-point OTOC which exhibits an exponential growth. Following the program of Gross-Rosenhaus, we estimate the triple short time limit of the six point function. Unlike the conformal modes with high values of h, the h = 2 mode has contact interaction dominating over the planar in the large q limit.

Current status:
Editor-in-charge assigned


Submission & Refereeing History

Submission scipost_202005_00008v1 on 19 May 2020

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