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Background field formalism and construction of effective action for N = 2, d = 3 supersymmetric gauge theories
Authors:I L Buchbinder  N G Pletnev  I B Samsonov
Institution:17311. Department of Theoretical Physics, Tomsk State Pedagogical University, Tomsk, 634061, Russia
47311. Tomsk Polytechnic University, Tomsk, 634050, Russia
27311. Department of Theoretical Physics, Institute of Mathematics, Novosibirsk, 630090, Russia
37311. INFN, Sezione di Padova, via F. Marzolo 8, 35131, Padova, Italy
Abstract:We review the background field method for three-dimensional Yang-Mills and Chern-Simons models in N = 2 superspace. Superfield proper time (heat kernel) techniques are developed and exact expressions of heat kernels for constant backgrounds are presented. The background field method and heat kernel techniques are applied for evaluating the low-energy effective actions in N = 2 supersymmetric Yang-Mills and Chern-Simons models as well as in N = 4 and N = 8 SYM theories.
Keywords:
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