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Article: Reports from M. Bergere et al highlight recent research in physics.
- Article from:
- Physics Week
- Article date:
- July 21, 2009
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"We find new representations for Itzykson-Zuber like angular integrals for arbitrary beta, in particular for the orthogonal group O(n), the unitary group U(n) and the symplectic group Sp(2n)," scientists writing in the Journal of Physics a - Mathematical and Theoretical report.
"We rewrite the Haar measure integral, as a flat Lebesge measure integral, and we deduce some recursion formulae on n. The same methods give also Shatashvili's type moments," wrote M. Bergere and colleagues.
The researchers concluded: "Finally, we prove that, in agreement with Brezin and Hikami's observation, the angular integrals are linear combinations of exponentials whose ...