Yang-Mills Integrals for Orthogonal, Symplectic and Exceptional Groups

Details Yang-Mills Integrals for Orthogonal, Symplectic and Exceptional Groups Yang-Mills Integrals for Orthogonal, Symplectic and Exceptional Groups

2000-04-11

arxiv.org/abs/hep-th/0004076v1

Nucl.Phys. B584 (2000) 641-655

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX, REVTEX

Scientific paper

10.1016/S0550-3213(00)00382-5

We apply numerical and analytic techniques to the study of Yang-Mills integrals with orthogonal, symplectic and exceptional gauge symmetries. The main focus is on the supersymmetric integrals, which correspond essentially to the bulk part of the Witten index for susy quantum mechanical gauge theory. We evaluate these integrals for D=4 and group rank up to three, using Monte Carlo methods. Our results are at variance with previous findings. We further compute the integrals with the deformation technique of Moore, Nekrasov and Shatashvili, which we adapt to the groups under study. Excellent agreement with all our numerical calculations is obtained. We also discuss the convergence properties of the purely bosonic integrals.

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