Lyapunov exponents in Minkowskian U(1) gauge theory
Harald Markum, Rainer Pullirsch, Wolfgang Sakuler
TL;DR
This paper investigates the chaotic behavior of U(1) gauge fields in different phases by analyzing Lyapunov exponents, revealing that monopole fields remain chaotic while photon fields become regular in the continuum.
Contribution
It introduces a lattice-based analysis of Lyapunov exponents for decomposed U(1) gauge fields, highlighting the distinct chaotic properties of monopole and photon components.
Findings
Monopole fields share the same Lyapunov exponent as the original field.
Monopole fields remain chaotic in the continuum.
Photon fields tend to be regular in the continuum.
Abstract
U(1) gauge fields are decomposed 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. We observe that the monopole field carries the same Lyapunov exponent as the original U(1) field. Evidence is found that monopole fields stay chaotic in the continuum whereas the photon fields are regular.
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