Invariant and Group Theoretical Integrations over the U(n) Group
arXiv:math-ph/0405036 · doi:10.1063/1.1765214
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.
arXiv commentto appear in the Journal of Mathematical Physics
References in corpus (9)
- Random Matrix Theories in Quantum Physics: Common Concepts
- 2D Gravity and Random Matrices
- Character Expansions, Itzykson-Zuber Integrals, and the QCD Partition Function
- On some integrals over the U(N) unitary group and their large N limit
- Correlation Functions in The Itzykson-Zuber Model
- Generalizations of some integrals over the unitary group
- Pair Correlator in the Itzykson-Zuber Integral
- Invariant Integration over the Unitary Group
- Saturation and Wilson Line Distributions