Simplifying 4d $\mathcal{N}=3$ Harmonic Superspace

Abstract

We quantize super Yang-Mills action in $\mathcal{N}=3$ harmonic superspace using "Fermi-Feynman" gauge and also develop the background field formalism. This leads to simpler propagators and Feynman rules that are useful in performing explicit calculations. The superspace rules are used to show that divergences do not appear at 1-loop and beyond. We also compute a finite contribution to the effective action from a 4-point diagram at 1-loop, which matches the expected covariant result.

arXiv comment2+10+2 pages, 1 figure; v2: References added and text updated slightly (published version)

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Cited by in corpus (2)

• Non-Hermitian Generalization of Rayleigh-Schrödinger Perturbation Theory
• New bi-harmonic superspace formulation of $4D,\mathcal{N}=4$ SYM theory