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.

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

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• Hypermultiplet dependence of one-loop effective action in the $\mathcal{N}=2$ superconformal theories
• Leading low-energy effective action in the 6D hypermultiplet theory on a vector/tensor background
• Construction of one-loop $\mathcal{N}=4$ SYM effective action on the mixed branch in the harmonic superspace approach
• Computing the Scalar Field Couplings in 6D Supergravity
• Effective actions in $\mathcal{N}$=1, D5 supersymmetric gauge theories: harmonic superspace approach
• Induced low-energy effective action in the 6D, N=(1,0) hypermultiplet theory on the vector multiplet background
• On gauge dependence of the one-loop divergences in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ SYM theories
• Low-energy effective action in two-dimensional SQED: A two-loop analysis
• Low-energy $6D$, $\mathcal{N}=(1,1)$ SYM effective action beyond the leading approximation
• On the two-loop divergences in 6D, $\mathcal{N}=(1,1)$ SYM theory
• On a structure of the one-loop divergences in $4D,\mathcal{N}=2$ supersymmetric sigma-model