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arxiv: hep-th/0302119 · v1 · submitted 2003-02-16 · ✦ hep-th

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

Hugh Osborn
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classification ✦ hep-th
keywords localloopactioncouplingseffectivegaugethetaacting
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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.

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    A heat kernel technique is developed to compute the one-loop effective action for general nonlinear electrodynamics, yielding a0-a2 coefficients in the weak-field regime and all-order a0 for conformal cases with causa...