1999/08/03 by Martin Grothaus, Ludwig Streit, Grothaus, Martin +4
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #Random Matrices and Applications #advanced mathematical theories #hep-th #math.QA
paper · pdf · doi:10.48550/arxiv.math/9908013
31 pages, 6 Postscript figures
arxiv created 1999/08/03 · openalex publication_date 1999/08/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An U(N)-invariant matrix model with d matrix variables is studied. It was shown that in the limit N→ ∞ and d→ 0 the model describes the knot diagrams. We realize the free partition function of the matrix model as the generalized expectation of a Hida distribution ΦN,d. This enables us to give a mathematically rigorous meaning to the partition function with interaction. For the generalized function ΦN,d we prove a Wick theorem and we derive explicit formulas for the propagators.