Yang–Mills integrals for orthogonal, symplectic and exceptional groups

2000/04/11 by Werner Krauth, Matthias Staudacher · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1016/s0550-3213(00)00382-5

published as Nucl.Phys. B584 (2000) 641-655 · 16 pages, LaTeX, REVTEX

arxiv created 2000/04/11 · openalex publication_date 2000/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

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 results are at variance with previous findings. We further compute the integrals with the deformation technique of Moore, Nekrasov and Shatashvili, which we adapt to the groups under study. Excellent agreement with all our numerical calculations is obtained. We also discuss the convergence properties of the purely bosonic integrals.

Cited by

• Script N = 4 SYM matrix integrals for almost all simple gauge groups (exceptE7andE8)
• Spectra of operators in large N tensor models
• N=2 3d-Matrix Integral with Myers Term
• Polyakov lines in Yang-Mills matrix models
• Spectra of supersymmetric Yang–Mills quantum mechanics