Flow equations and BRS invariance for Yang-Mills theories

Feb 15, 1994
8 pages
Published in:
  • Phys.Lett.B 335 (1994) 364-370
e-Print:
Report number:
  • HD-THEP-94-2

Citations per year

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Abstract:
Flow equations describe the evolution of the effective action Γk\Gamma_k in the process of varying an infrared cutoff kk. The presence of the infrared cutoff explicitly breaks gauge and hence BRS invariance. We derive modified Slavnov-Taylor identities, which are valid for nonvanishing kk. They guarantee the BRS invariance of Γk\Gamma_k for k0k\to0, and hence allow the study of non-abelian gauge theories by integrating the flow equations.
  • gauge field theory: Yang-Mills
  • field theory: Euclidean
  • effective action
  • transformation: Becchi-Rouet-Stora
  • Slavnov identity
  • renormalization group: transformation