On generation of Abelian magnetic fields in SU(3) gluodynamics at high temperature

Abstract

The vacuum state of SU(3) gluodynamics at high temperature is investigated. A consistent approach including the calculation of either the spontaneously generated constant chromomagnetic isotopic $H_3$ and hypercharge $H_8$ fields or the polarization operator of charged gluons in this background is applied. It is shown within the effective potential including the one-loop plus daisy diagrams that the specific values of the fields deliver a global minimum to free energy. The spectrum of the transversal charged modes is stable at high temperature due to a gluon magnetic mass accounting for the vacuum fields. This leads to stable chromomagnetic fields in the deconfinement phase of QCD. A comparison with the results of other approaches is done.

some misprints were corrected

References in corpus (4)

• Color Reflection Invariance and Monopole Condensation in QCD
• On the non-perturbative gluon mass and heavy quark physics
• Abelian chromomagnetic fields and confinement
• The Finite Temperature SU(2) Savvidy Model with a Non-trivial Polyakov Loop

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