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  Finite Yang-Mills integrals

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.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-593A-4 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-593B-2
Genre: Journal Article

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 Creators:
Krauth, Werner, Author
Staudacher, Matthias1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 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.

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 Dates: 1998-09-10
 Publication Status: Published in print
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 Identifiers: eDoc: 206325
Other: arXiv:hep-th/9804199v1
DOI: 10.1016/S0370-2693(98)00814-4
URI: http://arxiv.org/abs/hep-th/9804199
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Title: Physics Letters B
Source Genre: Journal
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Pages: - Volume / Issue: 435 (3-4) Sequence Number: - Start / End Page: 350 - 355 Identifier: -