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

نویسنده

  • Jean-Bernard Zuber
چکیده

The large N limit of some matrix integrals over the orthogonal group O(N) and its relation with those pertaining to the unitary group U(N) are reexamined. It is proved that limN→∞ N −2 ∫ DO expN Tr JO is half the corresponding function in U(N), with a similar relation for limN→∞ ∫ DO expN Tr (AOBO), for A and B both symmetric or both skew symmetric. Large N limit of integrals over the orthogonal group 2

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تاریخ انتشار 2008