Once More on a Colour Ferromagnetic Vacuum State at Finite Temperature

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1016/S0550-3213(00)00101-2

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.

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