Ultraviolet and Infrared Finiteness in Two Dimensional Curved Space-Time

Details Ultraviolet and Infrared Finiteness in Two Dimensional Curved Space-Time Ultraviolet and Infrared Finiteness in Two Dimensional Curved Space-Time

1999-11-29

arxiv.org/abs/hep-th/9911227v1

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, no figures

Scientific paper

Different models of field theories in two dimensions can be described by the action $Tr\int \vf F$. In the presence of a curved background, we construct a local supersymmetry-like transformations under which the action is invariant. Furthermore, by analysing the cohomology of the theory we show the absence of anomalies. Also the ultraviolet as well as the infrared finiteness of the theory are proven to all orders of perturbation theory.

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