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Background field formalism and construction of effective action for N = 2, d = 3 supersymmetric gauge theories

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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.

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Authors and Affiliations

  1. Department of Theoretical Physics, Tomsk State Pedagogical University, Tomsk, 634061, Russia

    I. L. Buchbinder

  2. Department of Theoretical Physics, Institute of Mathematics, Novosibirsk, 630090, Russia

    N. G. Pletnev

  3. INFN, Sezione di Padova, via F. Marzolo 8, 35131, Padova, Italy

    I. B. Samsonov

  4. Tomsk Polytechnic University, Tomsk, 634050, Russia

    I. L. Buchbinder, N. G. Pletnev & I. B. Samsonov

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  1. I. L. Buchbinder
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  2. N. G. Pletnev
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  3. I. B. Samsonov
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Correspondence to I. L. Buchbinder.

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Dedicated to the 60 year Jubilee of Professor D.I. Kazakov

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Buchbinder, I.L., Pletnev, N.G. & Samsonov, I.B. Background field formalism and construction of effective action for N = 2, d = 3 supersymmetric gauge theories. Phys. Part. Nuclei 44, 234–249 (2013). https://doi.org/10.1134/S1063779613020093

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