Gluon Condensation in Nonperturbative Flow Equations

Abstract

We employ nonperturbative flow equations for an investigation of the effective action in Yang-Mills theories. We compute the effective action $\Gamma [B]$ for constant color magnetic fields $B$ and examine Savvidy's conjecture of an unstable perturbative vacuum. Our results indicate that the absolute minimum of $\Gamma [B]$ occurs for B=0. Gluon condensation is described by a nonvanishing expectation value of the regularized composite operator $F_{\mu \nu }{F}^{\mu \nu }$ which agrees with phenomenological estimates.

64 pages, latex

References in corpus (1)

• Exact evolution equation for the effective potential

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