Finite Yang-Mills Integrals

Details Finite Yang-Mills Integrals Finite Yang-Mills Integrals

1998-04-30

arxiv.org/abs/hep-th/9804199v1

Phys.Lett. B435 (1998) 350-355

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTeX, REVTEX

Scientific paper

10.1016/S0370-2693(98)00814-4

We use Monte Carlo methods to directly evaluate D-dimensional SU(N) Yang-Mills partition functions reduced to zero Euclidean dimensions, with and without supersymmetry. In the non-supersymmetric case, we find that the integrals exist for D=3, N>3 and D=4, N>2 and, lastly, D >= 5, N >= 2. We conclude that the D=3 and D=4 integrals exist in the large N limit, and therefore lead to a well-defined, new type of Eguchi-Kawai reduced gauge theory. For the supersymmetric case, we check, up to SU(5), recently proposed exact formulas for the D=4 and D=6 D-instanton integrals, including the explicit form of the normalization factor needed to interpret the integrals as the bulk contribution to the Witten index.

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