The spontaneous generation of magnetic fields at high temperature in SU(2)-gluodynamics on a lattice

TL;DR

This study investigates the spontaneous generation of chromomagnetic fields at high temperatures in SU(2)-gluodynamics using lattice Monte Carlo simulations, revealing evidence of field creation through statistical analysis.

Contribution

Developed a lattice-based procedure and performed Monte Carlo simulations to study spontaneous chromomagnetic field generation at high temperatures in SU(2)-gluodynamics.

Findings

Indication of chromomagnetic field creation at high temperatures

Monte Carlo simulations on various lattice sizes and temperatures

Comparison with other approaches supports the phenomenon

Abstract

The spontaneous generation of the chromomagnetic field at high temperature is investigated in a lattice formulation of the SU(2)-gluodynamics. The procedure of studying this phenomenon is developed. The Monte Carlo simulations of the free energy on the lattices 2 \times 8^3, 2\times 16^3 and 4 \times 8^3 at various temperatures are carried out. The creation of the field is indicated by means of the \chi^2-analysis of the data set accumulating 5-10 millions MC configurations. A comparison with the results of other approaches is done.