Generalizations of some integrals over the unitary group

Details Generalizations of some integrals over the unitary group Generalizations of some integrals over the unitary group

2002-09-16

arxiv.org/abs/math-ph/0209030v2

J.Phys.A36:3195-3202,2003

Physics

Mathematical Physics

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

Scientific paper

10.1088/0305-4470/36/12/319

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.

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