Spontaneous generation of chromomagnetic fields at finite temperature in the SU(3) gluodynamics on a lattice

TL;DR

This paper investigates the spontaneous generation of homogeneous chromomagnetic fields in SU(3) lattice gluodynamics at finite temperature, revealing simultaneous condensation of certain fields and their temperature dependence.

Contribution

A new lattice measurement approach is introduced to detect spontaneous chromomagnetic field generation and vacuum magnetization in SU(3) gluodynamics.

Findings

Chromomagnetic fields are simultaneously condensed and co-directed.

No vacuum magnetization for non-diagonal SU(3) components.

Field strength follows a power law with anomalous dimension across 200 MeV - 200 GeV.

Abstract

The spontaneous generation of homogeneous chromomagnetic fields in the lattice SU(3) gluodynamics is investigated in the deconfinement phase of the model. A new approach based on direct measurements of the field strength on a lattice is developed. Vacuum magnetization is established by its influence on the probability density function of the simulated field strength. It is found that both the chromomagnetic fields corresponding to the diagonal SU(3) generators are simultaneously condensated and appear to be spatially co-directed. No vacuum magnetization is detected for the other SU(3) components. The temperature dependence of the spontaneously generated fields in physical units is fitted in the temperature interval 200 MeV - 200 GeV as the usual power law with the anomalous dimension.