SciPost Submission Page
Chaotic Correlation Functions with Complex Fermions
by Ritabrata Bhattacharya, Dileep P. Jatkar, Arnab Kundu
|As Contributors:||Ritabrata Bhattacharya|
|Submitted by:||Bhattacharya, Ritabrata|
|Submitted to:||SciPost Physics|
|Subject area:||High-Energy Physics - Theory|
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.