Yang-Mills integrals
نویسندگان
چکیده
منابع مشابه
Finite Yang-Mills Integrals
We use Monte Carlo methods to directly evaluate D-dimensional SU(N) Yang-Mills partition functions reduced to zero Euclidean dimensions, with and without supersymmetry. In the non-supersymmetric case, we find that the integrals exist for D = 3, N ≥ 4 and D = 4, N ≥ 3 and, lastly, D ≥ 5, N ≥ 2. We conclude that the D = 3 and D = 4 integrals exist in the large N limit, and therefore lead to a wel...
متن کاملEigenvalue Distributions in Yang-Mills Integrals
We investigate one-matrix correlation functions for finite SU(N) Yang-Mills integrals with and without supersymmetry. We propose novel convergence conditions for these correlators which we determine from the one-loop perturbative effective action. These conditions are found to agree with nonperturbative Monte Carlo calculations for various gauge groups and dimensions. Our results yield importan...
متن کاملThe Convergence of Yang-Mills Integrals
We prove that SU(N) bosonic Yang-Mills matrix integrals are convergent for dimension (number of matrices) D ≥ Dc. It is already known that Dc = 5 for N = 2; we prove that Dc = 4 for N = 3 and that Dc = 3 for N ≥ 4. These results are consistent with the numerical evaluations of the integrals by Krauth and Staudacher.
متن کاملBulk Witten Indices from D = 10 Yang Mills Integrals
Values for the bulk Witten indices for D = 10 Yang-Mills integrals for regular simple groups of rank 4 and 5 are calculated by employing the BRST deformation technique by Moore, Nekrasov and Shatashvili. The results cannot be reconciled with the double assumption that the number of normalizable ground states is given by certain simple partition functions given by Kac and Smilga as well as that ...
متن کاملYang-Mills Integrals for Orthogonal, Symplectic and Exceptional Groups
We apply numerical and analytic techniques to the study of Yang-Mills integrals with orthogonal, symplectic and exceptional gauge symmetries. The main focus is on the supersymmetric integrals, which correspond essentially to the bulk part of the Witten index for susy quantum mechanical gauge theory. We evaluate these integrals for D = 4 and group rank up to three, using Monte Carlo methods. Our...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2000
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/17/5/326