Exact Results in Noncommutative ${\cal N}=2$ Supersymmetric Gauge Theories

Details Exact Results in Noncommutative ${\cal N}=2$ Supersymmetric Gauge Theories Exact Results in Noncommutative ${\cal N}=2$ Supersymmetric Gauge Theories

2001-02-08

arxiv.org/abs/hep-th/0102045v2

JHEP 0105:051,2001

Physics

High Energy Physics

High Energy Physics - Theory

typos corrected

Scientific paper

10.1088/1126-6708/2001/05/051

We study the low-energy dynamics of noncommutative $\N=2$ supersymmetric U(N) Yang-Mills theories in the Coulomb phase. Exact results are derived for the leading terms in the derivative expansion of the Wilsonian effective action. We find that in the infrared regime the U(1) subgroup decouples, and the remaining SU(N) is described by the ordinary commutative Seiberg-Witten solution. IR/UV mixing is present in the U(1), but not in SU(N). Our analysis is based on explicit perturbative and multi-instanton calculations.

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