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Fermionic approach to the evaluation of integrals of rational symmetric functions

Mathematical Physics 2009-02-19 v1 High Energy Physics - Theory math.MP

Abstract

We use the fermionic construction of two-matrix model partition functions to evaluate integrals over rational symmetric functions. This approach is complementary to the one used in the paper ``Integrals of Rational Symmetric Functions, Two-Matrix Models and Biorthogonal Polynomials'' \cite{paper2}, where these integrals were evaluated by a direct method.

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Cite

@article{arxiv.0704.1150,
  title  = {Fermionic approach to the evaluation of integrals of rational symmetric functions},
  author = {John Harnad and Alexander Yu. Orlov},
  journal= {arXiv preprint arXiv:0704.1150},
  year   = {2009}
}

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34 pages