Gluon condensation in nonperturbative flow equations

Aug, 1997
63 pages
Published in:
  • Phys.Rev.D 56 (1997) 7893-7916
e-Print:

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Abstract:
We employ nonperturbative flow equations for an investigation of the effective action in Yang-Mills theories. We compute the effective action Γ[B]\Gamma[B] for constant color magnetic fields BB and examine Savvidy's conjecture of an unstable perturbative vacuum. Our results indicate that the absolute minimum of Γ[B]\Gamma[B] occurs for B=0. Gluon condensation is described by a nonvanishing expectation value of the regularized composite operator FμνFμνF_{\mu\nu}F^{\mu\nu} which agrees with phenomenological estimates.
  • 11.15.Tk
  • gauge field theory: Yang-Mills
  • effective action
  • background field
  • perturbation theory: higher-order
  • gluon: condensation
  • Ward identity
  • Slavnov identity