Ivan G. Avramidi, Samuel Collopy
We study the stability of a non-Abelian chromomagnetic vacuum in Yang-Mills
theory in Euclidean Einstein universe $S^1\times S^3$. We assume that the gauge
group contains the group SU(2) as a subgroup and consider static covariantly
constant gauge fields on $S^3$ taking values in the Lie algebra of SU(2). We
compute the one-loop effective action for finite temperature and show that the
only configuration of the Yang-Mills background that is stable is the one that
contains only spinor representations of the group SU(2); all other
configurations contain negative modes and are unstable. We compute the
asymptotics of the effective action, the energy density, the entropy and the
heat capacity for the stable configuration in the limits of low/high
temperature and small/large volume and show that the energy density has a
non-trivial minimum at a finite value of the radius of the sphere $S^3$.
View original:
http://arxiv.org/abs/1201.5163
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