An Itzykson-Zuber-like Integral and Diffusion for Complex Ordinary and Supermatrices

Details An Itzykson-Zuber-like Integral and Diffusion for Complex Ordinary and Supermatrices An Itzykson-Zuber-like Integral and Diffusion for Complex Ordinary and Supermatrices

1996-05-15

arxiv.org/abs/hep-th/9605110v1

J.Math.Phys. 37 (1996) 6395-6413

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, RevTeX, no figures

Scientific paper

10.1063/1.531784

We compute an analogue of the Itzykson-Zuber integral for the case of arbitrary complex matrices. The calculation is done for both ordinary and supermatrices by transferring the Itzykson-Zuber diffusion equation method to the space of arbitrary complex matrices. The integral is of interest for applications in Quantum Chromodynamics and the theory of two-dimensional Quantum Gravity.

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