An Itzykson-Zuber-like Integral and Diffusion for Complex Ordinary and Supermatrices
High Energy Physics - Theory
2014-10-09 v2
Abstract
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.
Cite
@article{arxiv.hep-th/9605110,
title = {An Itzykson-Zuber-like Integral and Diffusion for Complex Ordinary and Supermatrices},
author = {Thomas Guhr and Tilo Wettig},
journal= {arXiv preprint arXiv:hep-th/9605110},
year = {2014}
}
Comments
20 pages, RevTeX, no figures, agrees with published version, including "Note added in proof" with an additional result for rectangular supermatrices