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  Eigenvalue distributions in Yang-Mills integrals

Krauth, W., & Staudacher, M. (1999). Eigenvalue distributions in Yang-Mills integrals. Physics Letters B, 453(3-4), 253-257.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-58C9-8 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-58CA-6
Genre: Journal Article

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206198.pdf (Publisher version), 451KB
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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 investigate one-matrix correlation functions for finite SU(N) Yang-Mills integrals with and without supersymmetry. We propose novel convergence conditions for these correlators which we determine from the one-loop perturbative effective action. These conditions are found to agree with non-perturbative Monte Carlo calculations for various gauge groups and dimensions. Our results yield important insights into the eigenvalue distributions varrho(λ) of these random matrix models. For the bosonic models, we find that the spectral densities varrho(λ) posses moments of all orders as N → ∞. In the supersymmetric case, varrho(λ) is a wide distribution with an N - independent asymptotic behavior varrho(λ) not, vert, similarλ−3,λ−7,λ−15 for dimensions D = 4,6,10, respectively.

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 Dates: 1999
 Publication Status: Published in print
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 Identifiers: eDoc: 206198
Other: 16427
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Title: Physics Letters B
Source Genre: Journal
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Pages: - Volume / Issue: 453 (3-4) Sequence Number: - Start / End Page: 253 - 257 Identifier: -