A general non renormalization theorem in the extended antifield formalism

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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25 pages Latex file, major revision and extension

Scientific paper

10.1088/1126-6708/1998/12/003

In the context of algebraic renormalization, the extended antifield formalism is used to derive the general forms of the anomaly consistency condition and of the Callan-Symanzik equation for generic gauge theories. A local version of the latter is used to derive sufficient conditions for the vanishing of beta functions associated to terms whose integrands are invariant only up to a divergence for an arbitrary non trivial non anomalous symmetry of the Lagrangian. These conditions are independent of power counting restrictions and of the form of the gauge fixation.

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