The convergence of Yang-Mills integrals | Zendy

Peter Austing | Zendy; J.F. Wheater | Zendy

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The convergence of Yang-Mills integrals

Author(s) -

Peter Austing,

J.F. Wheater

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/02/028

Subject(s) - convergence (economics) , dimension (graph theory) , mathematics , yang–mills existence and mass gap , matrix (chemical analysis) , slater integrals , pure mathematics , mathematical physics , mathematical analysis , gauge theory , materials science , composite material , economics , economic growth

We prove that SU(N) bosonic Yang-Mills matrix integrals are convergent fordimension (number of matrices) $D\ge D_c$. It is already known that $D_c=5$ forN=2; we prove that $D_c=4$ for N=3 and that $D_c=3$ for $N\ge 4$. These resultsare consistent with the numerical evaluations of the integrals by Krauth andStaudacher.Comment: 13 pages, no figures, uses JHEP class. Extra references adde

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