Local Couplings and Sl(2,R) Invariance for Gauge Theories at One Loop

Abstract

The response of the one loop effective action for a gauge theory with local couplings $g(x),\theta (x)$ under a local Weyl rescaling of the background metric is calculated. Apart from terms which may be removed by local contributions to the effective action the result is compatible with $Sl(2,R)$ symmetry acting on $g,\theta$. Two loop effects are also discussed.

arXiv comment10 pages, uses harvmac

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• Space-time dependent couplings in N=1 SUSY gauge theories: Anomalies and Central Functions
• Quantum Field Theories Coupled to Supergravity: AdS/CFT and Local Couplings
• On novel string theories from 4d gauge theories
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• The local renormalization of super-Yang-Mills theories
• Heat kernel approach to the one-loop effective action for nonlinear electrodynamics