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#### Finite Yang-Mills integrals

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9804199v1.pdf

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Physics-Letters-B_435_3-4.pdf

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##### Citation

Krauth, W., & Staudacher, M. (1998). Finite Yang-Mills integrals.*
Physics Letters B,* *435*(3-4), 350-355. doi:10.1016/S0370-2693(98)00814-4.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-593A-4

##### Abstract

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≥4 and D=4, N≥3 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.