Color Structure of Gluon Field Magnetic Mass

TL;DR

This study investigates how neutral Abelian chromomagnetic fields influence the gluon magnetic mass in lattice SU(2) gluodynamics, revealing that such fields weaken screening and suggest a long-range nature of the field.

Contribution

It introduces a lattice simulation approach to analyze the impact of neutral Abelian fields on gluon magnetic mass, confirming their long-range effects.

Findings

Neutral Abelian field flux weakens string field screening.

Gluon magnetic mass decreases in the presence of the Abelian field.

Results support the long-range nature of neutral Abelian fields.

Abstract

The color structure of the gluon field magnetic mass is investigated in the lattice SU(2) gluodynamics. To realize that, the interaction between a monopole-antimonopole string and external neutral Abelian chromomagnetic field flux is considered. The string is introduced in the way proposed by Srednicki and Susskind. The neutral Abelian field flux is introduced through the twisted boundary conditions. Monte Carlo simulations are performed on 4D lattices at finite temperature. It is shown that the presence of the Abelian field flux weakens the screening of the string field. That means decreasing the gluon magnetic mass for this environment. The contribution of the neutral Abelian field has the form of "enhancing" factor in the fitting functions. This behavior independently confirms the long-range nature of the neutral Abelian field reported already in the literature. The comparison with analytic calculations is given.