Non-Renormalization Theorems for Operators with Arbitrary Numbers of Derivatives in ${\cal N}=4$ Yang Mills Theory

Details Non-Renormalization Theorems for Operators with Arbitrary Numbers of Derivatives in ${\cal N}=4$ Yang Mills Theory Non-Renormalization Theorems for Operators with Arbitrary Numbers of Derivatives in ${\cal N}=4$ Yang Mills Theory

1999-09-03

arxiv.org/abs/hep-th/9909020v1

Phys.Lett. B481 (2000) 427-435

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, latex

Scientific paper

10.1016/S0370-2693(00)00466-4

We generalize the proof of the non-renormalization of the four derivative operators in ${\cal N}=4$ Yang Mills theory with gauge group SU(2) to show that certain terms with 2N derivatives are not renormalized in the theory with gauge group SU(N). These terms may be determined exactly by a simple perturbative computation. Similar results hold for finite ${\cal N}=2$ theories. We comment on the implications of these results.

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