English

Generalizations of some integrals over the unitary group

Mathematical Physics 2008-11-26 v2 High Energy Physics - Theory math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.math-ph/0209030,
  title  = {Generalizations of some integrals over the unitary group},
  author = {B. Schlittgen and T. Wettig},
  journal= {arXiv preprint arXiv:math-ph/0209030},
  year   = {2008}
}

Comments

6 pages, some references added, version to appear in J. Phys. A: Special Issue on Random Matrix Theory

R2 v1 2026-07-22T16:21:52.425Z