On the large N limit of matrix integrals over the orthogonal group

Details On the large N limit of matrix integrals over the orthogonal group On the large N limit of matrix integrals over the orthogonal group

2008-05-03

arxiv.org/abs/0805.0315v1

Physics

Mathematical Physics

12 pages

Scientific paper

10.1088/1751-8113/41/38/382001

We reexamine the large N limit of matrix integrals over the orthogonal group
O(N) and their relation with those pertaining to the unitary group U(N). We
prove that lim_{N to infty} N^{-2} \int DO exp N tr JO is half the
corresponding function in U(N), and a similar relation for lim_{N to infty}
\int DO exp N tr(A O B O^t), for A and B both symmetric or both skew symmetric.

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