Alfaro, Jorge; Medina, Ricardo; Urrutia, Luis F. The Itzykson-Zuber integral for \(U(m| n)\). (English) Zbl 0857.15016 J. Math. Phys. 36, No. 6, 3085-3093 (1995); comment and reply ibid.37, No. 6, 3099-3101 (1996). Summary: The Itzykson-Zuber integral is computed for the superunitary group \(U (m|n)\). As a consequence, the nonzero correlations of superunitary matrices can be found. Cited in 1 ReviewCited in 8 Documents MSC: 15B52 Random matrices (algebraic aspects) 15A75 Exterior algebra, Grassmann algebras 22E70 Applications of Lie groups to the sciences; explicit representations 15A90 Applications of matrix theory to physics (MSC2000) 81V05 Strong interaction, including quantum chromodynamics 81R05 Finite-dimensional groups and algebras motivated by physics and their representations Keywords:quantum chromodynamics; random matrices; random supermatrices; random surfaces; Grassmannian manifolds; Itzykson-Zuber integral; superunitary group; superunitary matrices PDFBibTeX XMLCite \textit{J. Alfaro} et al., J. Math. Phys. 36, No. 6, 3085--3093 (1995; Zbl 0857.15016) Full Text: DOI arXiv References: [1] DOI: 10.1063/1.524438 · Zbl 0997.81549 [2] DOI: 10.1063/1.524438 · Zbl 0997.81549 [3] DOI: 10.1007/BF01208498 · Zbl 0471.28007 [4] DOI: 10.1016/0550-3213(93)90342-M [5] DOI: 10.1016/0370-1573(81)90157-5 [6] DOI: 10.1016/0370-1573(81)90157-5 [7] DOI: 10.1088/0305-4470/17/7/006 · Zbl 0543.15020 [8] DOI: 10.1063/1.528976 · Zbl 0725.15025 [9] DOI: 10.1088/0264-9381/9/2/001 · Zbl 0756.58050 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.