Simple rules of functional integration in the Schwarzian theory: SYK correlators

TL;DR

This paper develops general rules for functional integration in Schwarzian theories and explicitly computes correlation functions in the SYK model, advancing analytical understanding of these complex systems.

Contribution

It introduces a systematic approach to functional integration in Schwarzian theories and provides explicit calculations for SYK correlators, which were previously challenging.

Findings

Derived general rules for functional integration in Schwarzian theories.

Explicitly evaluated SYK model correlation functions.

Enhanced analytical tools for studying Schwarzian and SYK models.

Abstract

We derive the general rules of functional integration in the theories of the Schwarzian type, and evaluate explicitly the functional integrals assigning correlation functions in the SYK model.