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" [1] , where these integrals were evaluated by a direct method. Using Wick's theorem, we obtain the same determinantal expressions in terms of biorthogonal polynomials as in [1] .
In another work REF we show how to use this fermionic representation to reduce the evaluation of multiple integrals of rational symmetric functions arising as determinantal correlation functions in matrix models, using Wick's theorem, to determinantal expressions involving at most double integrals, and the associated biorthogonal polynomials.
Fermionic approach to the evaluation of integrals of rational symmetric functions
Theor.Math.Phys.158:17-39,2009
Physics Mathematics