paper

Resolving the instability of the Savvidy vacuum by dynamical gluon mass

arXiv:0712.0570 · doi:10.1016/j.physletb.2008.01.013

Abstract

In this paper we apply the formalism of local composite operators as developed by Verschelde et al. in combination with a constant chromomagnetic field as considered in the seventies by Savvidy and others. We find that a nonzero <A_μ^2> minimizes the vacuum energy, as in the case with no chromomagnetic field, and that the chromomagnetic field itself is near-to zero. The Nielsen-Olesen instability, caused by the imaginary part in the action, also vanishes. We further investigate the effect of an external chromomagnetic field on the value of <A_μ^2>, finding that this condensate is destroyed by sufficiently strong fields. The inverse scenario, where <A_μ^2> is considered as external, results in analogous findings: when this condensate is sufficiently large, the induced chromomagnetic field is lowered to a perturbative value slightly below the applied <A_μ^2>.

11 pages, 8 figures

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