Real-time correlators in 3+1D thermal lattice gauge theory

TL;DR

This paper introduces a novel ab-initio method for computing unequal-time correlation functions in 3+1D non-Abelian lattice gauge theory, enabling direct analysis of real-time phenomena relevant to quark-gluon plasma.

Contribution

It presents the first direct computation of unequal-time correlators in non-Abelian lattice gauge theory using a stabilized complex Langevin approach.

Findings

Demonstrates consistency relations among correlators

Shows agreement with Monte-Carlo results in thermal equilibrium

Establishes a framework for extracting real-time observables

Abstract

We present the first direct ab-initio computation of unequal-time correlation functions in non-Abelian lattice gauge theory. We demonstrate non-trivial consistency relations among correlators, time-translation invariance, and agreement with Monte-Carlo results for thermal equilibrium in 3+1 dimensions by employing our stabilized complex Langevin method. Our work sets the stage to extract real-time observables, relevant to quark-gluon plasma physics within a first-principles real-time framework.