Exact propagators in harmonic superspace
Abstract
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.
Cite
@article{arxiv.hep-th/0407242,
title = {Exact propagators in harmonic superspace},
author = {S. M. Kuzenko},
journal= {arXiv preprint arXiv:hep-th/0407242},
year = {2009}
}
Comments
Latex, 12 pages; V2: a reference added; V3: typos in eq. (3) corrected, the version to appear in PLB; V4: typos in eq. (47) corrected