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arXiv · 1509.08055

Manifestly N=2 supersymmetric regularization for N=2 supersymmetric field theories

I. L. Buchbinder·N. G. Pletnev·K. V. Stepanyantz
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Abstract

We formulate the higher covariant derivative regularization for N=2 supersymmetric gauge theories in N=2 harmonic superspace. This regularization is constructed by adding the N=2 supersymmetric higher derivative term to the classical action and inserting the N=2 supersymmetric Pauli--Villars determinants into the generating functional for removing one-loop divergencies. Unlike all other regularization schemes in N=2 supersymmetric quantum field theory, this regularization preserves by construction the manifest N=2 supersymmetry at all steps of calculating loop corrections to the effective action. Together with N=2 supersymmetric background field method this regularization allows to calculate quantum corrections without breaking the manifest gauge symmetry and N=2 supersymmetry. Thus, we justify the assumption about existence of a regularization preserving N=2 supersymmetry, which is a key element of the N=2 non-renormalization theorem. As a result, we give the prove of the N=2 non-renormalization theorem which does not require any additional assumptions.

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I. L. Buchbinder, N. G. Pletnev, K. V. Stepanyantz. 2015-10-27. Manifestly N=2 supersymmetric regularization for N=2 supersymmetric field theories. https://doi.org/10.1016/j.physletb.2015.10.071

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