Flow Equations and BRS Invariance for Yang-Mills Theories

Details Flow Equations and BRS Invariance for Yang-Mills Theories Flow Equations and BRS Invariance for Yang-Mills Theories

1994-02-14

arxiv.org/abs/hep-th/9402077v2

Phys.Lett. B335 (1994) 364-370

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, HD-THEP-94-02 (References and example added; version to appear in Phys. Lett. B)

Scientific paper

10.1016/0370-2693(94)90365-4

Flow equations describe the evolution of the effective action $\Gamma_k$ in the process of varying an infrared cutoff $k$. The presence of the infrared cutoff explicitly breaks gauge and hence BRS invariance. We derive modified Slavnov-Taylor identities, which are valid for nonvanishing $k$. They guarantee the BRS invariance of $\Gamma_k$ for $k\to0$, and hence allow the study of non-abelian gauge theories by integrating the flow equations. Within a perturbative expansion of $\Gamma_k$, we derive an equation for a $k$ dependent mass term for the gauge fields implied by the modified Slavnov-Taylor identities.

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