Abelian chromomagnetic background field at finite temperature on the lattice

TL;DR

This study investigates the vacuum structure of SU(2) and SU(3) lattice gauge theories at finite temperature using a gauge-invariant effective action, revealing how external chromomagnetic fields influence confinement properties.

Contribution

It introduces a gauge-invariant lattice effective action approach to analyze vacuum dynamics and demonstrates the impact of external fields on confinement at finite temperature.

Findings

External chromomagnetic fields are screened at zero temperature.

Finite temperature fields can restore confinement.

Numerical simulations support the theoretical predictions.

Abstract

The vacuum dynamics of SU(2) and SU(3) lattice gauge theories is studied by means of a gauge-invariant effective action defined using the lattice Schr\"odinger functional at finite temperature. In the case of the SU(3) gauge theory numerical simulations are performed both at zero and finite temperature. The vacuum is probed using an external constant Abelian chromomagnetic field. At zero temperature, in agreement with our previous studies for the SU(2) theory, the external field is totally screened in the continuum limit. At finite temperature numerical data suggest that confinement is restored by increasing the strength of the applied field.