Finiteness of 2D Topological BF-Theory with Matter Coupling
نویسندگان
چکیده
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. Work supported in part by the “Fonds zur Förderung der Wissenschaftlichen Forschung”, under Contract Grant Number P11354 – PHY, and by the “Magistrat der Stadt Wien, MA18” under Contract Grant Number MA18 – WI/342/98. Work supported in part by the “Fonds zur Förderung der Wissenschaftlichen Forschung”, under Contract Grant Number P11582 – PHY.
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