Resolving the instability of the Savvidy vacuum by dynamical gluon mass

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>.

arXiv comment11 pages, 8 figures

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Cited by in corpus (9)

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• The asymmetry of the dimension 2 gluon condensate: the zero temperature case
• Magnetic Field and Curvature Effects on Pair Production II: Vectors and Implications for Chromodynamics
• A two-component picture of the <A^2> condensate with instantons
• The asymmetry of the dimension 2 gluon condensate: the finite temperature case
• Stability of chromomagnetic condensation and mass generation for confinement in SU(2) Yang-Mills theory
• Remarks on confinement driven by axion-like particles in Yang-Mills theories
• Chromomagnetic Condensate in Finite-Temperature SU(2) Yang-Mills Theory under Imaginary Rotation