Invariant and Group Theoretical Integrations over the U(n) Group
Mathematical Physics
2009-11-10 v1 High Energy Physics - Theory
math.MP
Abstract
In a previous article, an `invariant method' to calculate monomial integrals over the U(n) group was introduced. In this paper, we study the more traditional group-theoretical method, and compare its strengths and weaknesses with those of the invariant method. As a result, we are able to introduce a `hybrid method' which combines the respective strengths of the other two methods. There are many examples in the paper illustrating how each of these methods works.
Keywords
Cite
@article{arxiv.math-ph/0405036,
title = {Invariant and Group Theoretical Integrations over the U(n) Group},
author = {S. Aubert and C. S. Lam},
journal= {arXiv preprint arXiv:math-ph/0405036},
year = {2009}
}
Comments
to appear in the Journal of Mathematical Physics