Finiteness of 2D Topological BF-Theory with Matter Coupling

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17 pages, Latex

Scientific paper

10.1016/S0550-3213(98)00778-0

We study the ultraviolet and the infrared behavior of 2D topological
BF-Theory coupled to vector and scalar fields. This model is equivalent to 2D
gravity coupled to topological matter. Using techniques of the algebraic
renormalization program we show that this model is anomaly free and ultraviolet
as well as infrared finite at all orders of perturbation theory.

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