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Exact propagators in harmonic superspace

Within the background field formulation in harmonic superspace for quantum N=2 super-Yang–Mills theories, the propagators of the matter, gauge and ghost superfields possess a complicated dependence on the SU(2) harmonic variables via the background vector multiplet. This dependence is shown to simpl...

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Published in:Physics letters. B 2004-10, Vol.600 (1-2), p.163-170
Main Author: Kuzenko, Sergei M.
Format: Article
Language:English
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Summary:Within the background field formulation in harmonic superspace for quantum N=2 super-Yang–Mills theories, the propagators of the matter, gauge and ghost superfields possess a complicated dependence on the SU(2) harmonic variables via the background vector multiplet. This dependence is shown to simplify drastically in the case of an on-shell vector multiplet. For a covariantly constant background vector multiplet, we exactly compute all the propagators. In conjunction with the covariant multi-loop scheme developed in hep-th/0302205, these results provide an efficient (manifestly N=2 supersymmetric) technical setup for computing multi-loop quantum corrections to effective actions in N=2 supersymmetric gauge theories, including the N=4 super-Yang–Mills theory.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2004.08.071