Yang-Mills Integrals

Details Yang-Mills Integrals Yang-Mills Integrals

1999-11-22

arxiv.org/abs/hep-th/9911170v2

Class.Quant.Grav.17:1171-1179,2000

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 8 figures, uses iopart.cls; acknowledgements added

Scientific paper

10.1088/0264-9381/17/5/326

SU(N) Yang-Mills integrals form a new class of matrix models which, in their maximally supersymmetric version, are relevant to recent non-perturbative definitions of 10-dimensional IIB superstring theory and 11-dimensional M-theory. We demonstrate how Monte Carlo methods may be used to establish important properties of these models. In particular we consider the partition functions as well as the matrix eigenvalue distributions. For the latter we derive a number of new exact results for SU(2). We also report preliminary computations of Wilson loops. (Based on talk presented by M. Staudacher at Strings '99, Potsdam, July 19-24 1999)

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