Spontaneous creation of chromomagnetic field and A_0-condensate at high temperature on a lattice

TL;DR

This paper investigates the spontaneous generation of chromomagnetic fields and A_0-condensates at high temperature in SU(2)-gluodynamics using lattice simulations, revealing stable magnetized vacuum configurations.

Contribution

It develops a new procedure to detect spontaneous chromomagnetic field creation and demonstrates the stability of combined magnetic and A_0-condensate configurations.

Findings

Spontaneous generation of Abelian color magnetic field observed.

Magnetized vacuum and A_0-condensate form a stable configuration.

High-temperature lattice simulations confirm these phenomena.

Abstract

In a lattice formulation of SU(2)-gluodynamics, the spontaneous generation of chromomagnetic fields at high temperature is investigated. A procedure to determine this phenomenon is developed. By means of the $\chi^2$-analysis of the data set accumulating $5-10\times 10^6$ Monte Carlo configurations, the spontaneous creation of the Abelian color magnetic field is indicated. The common generation of the magnetic field and $A_0$-condensate is also studied. It is discovered that the field configuration consisting of the magnetized vacuum and the $A_0$-condensate is stable.