A fresh look on the flux tube in Abelian-projected SU(2) gluodynamics

TL;DR

This paper investigates the properties of the Q-Qbar flux tube in Abelian-projected SU(2) lattice gauge theory, examining gauge fixing effects, lattice spacing independence, and comparing profiles with dual Ginzburg-Landau theory.

Contribution

It provides a detailed analysis of flux tube profiles, including monopole and photon contributions, and assesses gauge fixing and lattice spacing effects in Abelian-projected SU(2) gluodynamics.

Findings

Flux tube profiles are gauge-dependent but can be optimized.

Profiles are consistent across different lattice spacings at fixed gauge.

Monopole contributions dominate the flux tube structure.

Abstract

We reconsider the properties of the $Q\bar{Q}$ flux tube within Abelian-projected SU(2) lattice gauge theory in terms of electric field and monopole current. In the maximal Abelian gauge we assess the influence of the Gribov copies on the apparent flux-tube profile. For the optimal gauge fixing we study the independence of the profile on the lattice spacing for $\beta=$ 2.3, 2.4, and 2.5115 on a $32^4$ lattice. We decompose the Abelian Wilson loop into monopole and photon parts and compare the electric and monopole profile emerging from different sources with the field strength and monopole current within the dual Ginzburg-Landau theory.