Superbosonization

Details Superbosonization Superbosonization

2007-10-29

arxiv.org/abs/0710.5375v2

ACTA PHYSICA POLONICA B vol.38 (2007) 1001-1006

Physics

Condensed Matter

Statistical Mechanics

7 pages, Presented at the Conference on Random Matrix Theory, "From Fundamental Physics to Applications", Krakow, Poland, May

Scientific paper

We give a constructive proof for the superbosonization formula for invariant random matrix ensembles, which is the supersymmetry analog of the theory of Wishart matrices. Formulas are given for unitary, orthogonal and symplectic symmetry, but worked out explicitly only for the orthogonal case. The method promises to become a powerful tool for investigating the universality of spectral correlation functions for a broad class of random matrix ensembles of non-Gaussian type.

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