The convergence of Yang-Mills integrals

2001/01/15 by Peter Austing, John F. Wheater, John F Wheater · 3 citations
Mathematics · Physics and Astronomy · #Analytic Number Theory Research #Mathematical Inequalities and Applications #Random Matrices and Applications #hep-lat #hep-th

paper · pdf · doi:10.1088/1126-6708/2001/02/028

published as JHEP 0102:028,2001 · 13 pages, no figures, uses JHEP class. Extra references added

arxiv created 2001/01/15 · openalex publication_date 2001/02/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We prove that SU(N) bosonic Yang-Mills matrix integrals are convergent for dimension (number of matrices) D≥ 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≥ 4. These results are consistent with the numerical evaluations of the integrals by Krauth and Staudacher.

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