An Itzykson-Zuber-like integral and diffusion for complex ordinary and supermatrices

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. (C) 1996 American Institute of Physics.