The Convergence of Yang-Mills Integrals

Peter Austing; John F. Wheater

doi:10.1088/1126-6708/2001/02/028

The Convergence of Yang-Mills Integrals

High Energy Physics - Theory 2010-02-03 v2 High Energy Physics - Lattice

Authors: Peter Austing , John F. Wheater

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Abstract

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.

Keywords

Yang-Mills matrix integrals convergence SU(N) dimension numerical evaluation

Cite

@article{arxiv.hep-th/0101071,
  title  = {The Convergence of Yang-Mills Integrals},
  author = {Peter Austing and John F. Wheater},
  journal= {arXiv preprint arXiv:hep-th/0101071},
  year   = {2010}
}

Comments

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

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