Fermionic approach for evaluating integrals of rational symmetric functions

被引：2
|
作者：
Harnad, J. [1 ,2 ]
Orlov, A. Yu. [3 ]
机构：
[1] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada
[2] Concordia Univ, Dept Math & Stat, Montreal, PQ H4B 1R6, Canada
[3] RAS, PP Shirshov Oceanol Inst, Moscow 117901, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2009年 / 158卷 / 01期
基金：
俄罗斯基础研究基金会; 加拿大自然科学与工程研究理事会;
关键词：
random matrix; two-matrix model; multiple integral; factorization; dressing method; characteristic polynomial; free fermion; RANDOM HERMITIAN MATRICES; CHARACTERISTIC-POLYNOMIALS; MULTIMATRIX MODELS; CONSTRUCTION; PRODUCTS;
D O I：
10.1007/s11232-009-0002-x
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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 our previous paper, where these integrals were evaluated by a direct method. Using Wick's theorem, we obtain the same determinantal expressions in terms of biorthogonal polynomials.
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页码：17 / 39
页数：23
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