Monopoles and Chaos
Harald Markum, Rainer Pullirsch, and Wolfgang Sakuler
TL;DR
This paper investigates the relationship between monopole configurations and chaotic behavior in U(1) gauge fields across phase transitions, using lattice simulations and Lyapunov exponents to analyze their dynamics.
Contribution
It introduces a decomposition of U(1) gauge fields into monopole and photon parts and links monopole density to chaos measures during phase transitions.
Findings
Monopole density correlates strongly with Lyapunov exponents.
Chaotic behavior varies across the confinement and Coulomb phases.
Lattice simulations reveal the monopole influence on gauge field dynamics.
Abstract
We decompose U(1) gauge fields into a monopole and photon part across the phase transition from the confinement to the Coulomb phase. We analyze the leading Lyapunov exponents of such gauge field configurations on the lattice which are initialized by quantum Monte Carlo simulations. It turns out that there is a strong relation between the sizes of the monopole density and the Lyapunov exponent.
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