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arXiv · 0712.0570

Resolving the instability of the Savvidy vacuum by dynamical gluon mass

David Vercauteren·Henri Verschelde
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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 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 , finding that this condensate is destroyed by sufficiently strong fields. The inverse scenario, where 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 .

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David Vercauteren, Henri Verschelde. 2007-12-04. Resolving the instability of the Savvidy vacuum by dynamical gluon mass. https://doi.org/10.1016/j.physletb.2008.01.013

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