Turbulent spectra in real-time gauge field evolution

TL;DR

This paper explores the behavior of non-Abelian gauge fields in real-time, revealing a spectral index of 3/2 through simulations and analytical methods, advancing understanding of their ultraviolet fixed points.

Contribution

It provides the first combined numerical and analytical analysis of ultraviolet fixed points in real-time gauge field evolution, identifying a universal spectral index.

Findings

Equal-time correlation functions exhibit a spectral index of 3/2.

Classical-statistical lattice simulations confirm the spectral index.

Analytical 2PI- loop expansion explains the simulation results.

Abstract

We investigate ultraviolet fixed points in the real-time evolution of non-Abelian gauge fields. Classical-statistical lattice simulations reveal equal-time correlation functions with a spectral index 3/2. Analytical understanding of this result is achieved by employing a 2PI- loop expansion for the quantum theory.