Once More on a Colour Ferromagnetic Vacuum State at Finite Temperature

Abstract

The spontaneous vacuum magnetization at finite temperature is investigated in SU(2) gluodynamics within a consistent effective potential approach including the one-loop and the correlation correction contributions. To evaluate the latter ones the high temperature limits of the polarization operators of charged and neutral gluon fields in a covariantly constant magnetic field and at high temperature are calculated.The radiation mass squared of charged gluons is found to be positive. It is shown that the ferromagnetic vacuum state having a field strength of order $(gH{)}^{1/2}\sim g^{4/3}T$ is spontaneously generated at high temperature. The vacuum stability and some applications of the results obtained are discussed.

Comments: 16 pages, 2 figures, subm. to Nucl. Phys. B