Two-point Correlators in N=2 Gauge Theories

TL;DR

This paper computes two-point correlators in N=2 supersymmetric SU(N) gauge theories on R4 using localization, comparing perturbative results with direct field theory calculations, and confirms agreement up to two loops in the conformal case.

Contribution

It provides explicit perturbative calculations of two-point functions in N=2 gauge theories using localization and compares them with direct computations, extending understanding of correlators in supersymmetric theories.

Findings

Perturbative corrections computed up to three loops.

Agreement between localization and direct calculations up to two loops in conformal cases.

Results applicable to operators with finite correlators at specific loop orders.

Abstract

We consider two-point correlators in SU(N) gauge theories on R4 with N=2 supersymmetry and Nf massless hypermultiplets in the fundamental representation. Using localization on S4, we compute the leading perturbative corrections to the two-point functions of chiral/anti-chiral operators made of scalar fields. The results are compared at two and three loops against direct field theory computations for some special operators whose correlators remain finite in perturbation theory at the specific loop order. In the conformal case, the match is shown up to two loops for a generic choice of operators and for arbitrary N.