The Full Laplace-Beltrami operator on U(N) and SU(N)
Mathematical Physics
2012-04-11 v2 math.MP
Abstract
The Laplacian on the Lie groups U(N) and SU(N) is given in a parametrized edition for practical purposes. The radial part is often seen in work on lattice gauge theory, but here is derived also the off-diagonal part which in SU(3) and U(3) is expressed via the well known Gell-Mann matrices but with a more easily memorized notation. Relations to I, U and V spin are also shown.
Keywords
Cite
@article{arxiv.math-ph/9901002,
title = {The Full Laplace-Beltrami operator on U(N) and SU(N)},
author = {O. L. Trinhammer and G. Olafsson},
journal= {arXiv preprint arXiv:math-ph/9901002},
year = {2012}
}
Comments
11 pages, 1 figure