2002/09/30 by B. Schlittgen, B Schlittgen, T. Wettig +1 · 43 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebra over a field #Character (mathematics) #Group (periodic table) #Holomorphic and Operator Theory #Lattice (music) #Random Matrices and Applications #Unitary group #Unitary matrix #Unitary state #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/0305-4470/36/12/319
published in Journal of Physics A Mathematical and General 36(12), 3195-3201 (Institute of Physics) · 6 pages, some references added, version to appear in J. Phys. A: Special Issue on Random Matrix Theory
arxiv created 2002/10/22 · openalex publication_date 2003/03/13 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
Using the character expansion method, we generalize several well-known integrals over the unitary group to the case where general complex matrices appear in the integrand. These integrals are of interest in the theory of random matrices and may also find applications in lattice gauge theory.