The Convergence of Yang-Mills Integrals

Details The Convergence of Yang-Mills Integrals The Convergence of Yang-Mills Integrals

2001-01-11

arxiv.org/abs/hep-th/0101071v2

JHEP 0102:028,2001

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, no figures, uses JHEP class. Extra references added

Scientific paper

10.1088/1126-6708/2001/02/028

We prove that SU(N) bosonic Yang-Mills matrix integrals are convergent for
dimension (number of matrices) $D\ge D_c$. It is already known that $D_c=5$ for
N=2; we prove that $D_c=4$ for N=3 and that $D_c=3$ for $N\ge 4$. These results
are consistent with the numerical evaluations of the integrals by Krauth and
Staudacher.

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