Long range chromomagnetic fields at high temperature

TL;DR

This paper investigates the magnetic mass of neutral gluons in high-temperature SU(2) gluodynamics, finding it to be zero through both analytical and lattice simulation methods, indicating spontaneous generation of chromomagnetic fields.

Contribution

It provides the first combined analytical and lattice evidence that the magnetic mass of neutral gluons in high-temperature chromomagnetic fields is zero, supporting spontaneous field generation.

Findings

Magnetic mass of neutral gluons is zero at high temperature.

Analytical and lattice results are consistent.

Spontaneous generation of chromomagnetic fields is supported.

Abstract

The magnetic mass of neutral gluons in Abelian chromomagnetic field at high temperature is calculated in SU(2)$ gluodynamics. It is noted that such type fields are spontaneously generated at high temperature. The mass is computed either from the Schwinger-Dyson equation accounting for the one-loop polarization tensor or in Monte-Carlo simulations on a lattice. In latter case, an average magnetic flux penetrating a plaquette is measured for a number of lattices. Both calculations are in agreement with each other and result in zero magnetic mass. Some applications of the results obtained are discussed.