Gluon Condensation in Nonperturbative Flow Equations

Details Gluon Condensation in Nonperturbative Flow Equations Gluon Condensation in Nonperturbative Flow Equations

1997-08-09

arxiv.org/abs/hep-th/9708051v1

Phys.Rev. D56 (1997) 7893-7916

Physics

High Energy Physics

High Energy Physics - Theory

64 pages, latex

Scientific paper

10.1103/PhysRevD.56.7893

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.

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