TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.4.2.018
TI  - Chaotic correlation functions with complex fermions
PY  - 2021/06/09
UR  - https://scipost.org/SciPostPhysCore.4.2.018
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 4
IS  - 2
SP  - 018
A1  - Bhattacharya, Ritabrata
AU  - Jatkar, Dileep
AU  - Kundu, Arnab
AB  - 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 with maximal chaos. Following the program of Gross-Rosenhaus, this correlator contains information of the bulk cubic coupling, at the conformal point as well as perturbatively away from it. 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.
ER  -

@Article{10.21468/SciPostPhysCore.4.2.018,
	title={{Chaotic correlation functions with complex fermions}},
	author={Ritabrata Bhattacharya and Dileep P. Jatkar and Arnab Kundu},
	journal={SciPost Phys. Core},
	volume={4},
	pages={018},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.4.2.018},
	url={https://scipost.org/10.21468/SciPostPhysCore.4.2.018},
}