The Full Laplace-Beltrami operator on U(N) and SU(N)

Details The Full Laplace-Beltrami operator on U(N) and SU(N) The Full Laplace-Beltrami operator on U(N) and SU(N)

1999-01-08

arxiv.org/abs/math-ph/9901002v2

Physics

Mathematical Physics

11 pages, 1 figure

Scientific paper

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.

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