Full Spectrum of Lyapunov Exponents in Gauge Field Theory

TL;DR

This paper investigates the spectrum of Lyapunov exponents in gauge field theories, revealing complex chaotic behavior and transitions across phases, with implications for understanding gauge dynamics.

Contribution

It provides the first comprehensive analysis of the full Lyapunov spectrum in U(1) and SU(2) gauge theories across phase transitions, highlighting the emergence of regularity in the continuum limit.

Findings

Lyapunov exponents indicate chaotic dynamics in gauge fields.

Strange attractor features observed near phase transition.

Continuum limit shows tendency towards regularity.

Abstract

We analyze the Lyapunov exponents of U(1) gauge fields across the phase transition from the confinement to the Coulomb phase on the lattice which are initialized by quantum Monte Carlo simulations. We observe all features of a strange attractor with a tendency to regularity towards the continuum limit. Results are also displayed for the full spectrum of Lyapunov exponents of the SU(2) gauge system.