کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1843019 1031501 2011 32 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An efficient method for computing genus expansions and counting numbers in the Hermitian matrix model
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
An efficient method for computing genus expansions and counting numbers in the Hermitian matrix model
چکیده انگلیسی
We present a method to compute the genus expansion of the free energy of Hermitian matrix models from the large N expansion of the recurrence coefficients of the associated family of orthogonal polynomials. The method is based on the Bleher-Its deformation of the model, on its associated integral representation of the free energy, and on a method for solving the string equation which uses the resolvent of the Lax operator of the underlying Toda hierarchy. As a byproduct we obtain an efficient algorithm to compute generating functions for the enumeration of labeled k-maps which does not require the explicit expressions of the coefficients of the topological expansion. Finally we discuss the regularization of singular one-cut models within this approach.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Volume 848, Issue 2, 11 July 2011, Pages 398-429
نویسندگان
, , ,