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

We present the first direct computation of unequal-time correlation functions in non-Abelian lattice gauge theory. We demonstrate nontrivial consistency relations among correlators, time-translation invariance, and agreement with Monte Carlo results for thermal equilibrium in <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mn>3</a:mn><a:mo>+</a:mo><a:mn>1</a:mn></a:mrow></a:math> 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. Published by the American Physical Society 2024