Topological expansion for the 1-hermitian matrix model correlation functions.

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Topological expansion for the 1-hermitian matrix model correlation functions

We rewrite the loop equations of the hermitian matrix model, in a way which involves no derivative with respect to the potential, we compute all the correlation functions, to all orders in the topological 1/N expansion, as residues on an hyperelliptical curve. Those residues, can be represented as Feynmann graphs of a cubic field theory on the curve.

متن کامل

Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula

We rewrite the loop equations of the hermitian 2-matrix model, in a way which allows to compute all the correlation functions, to all orders in the topological 1/N expansion, as residues on an algebraic curve. Those residues, can be represented diagrammatically as Feynman graphs of a cubic interaction field theory on the curve.

متن کامل

Topological Expansion for the Cauchy two-Matrix-Model

Recently a two-matrix-model with a new type of interaction [1] has been introduced and analyzed using biorthogonal polynomial techniques. Here we present the complete 1 N2 expansion for the formal version of this model, following the spirit of [2, 3], i.e. the full expansion for the non mixed resolvent correlators and for the free energies.

متن کامل

Topological Expansion in the Cubic Random Matrix Model

In this paper, we study the topological expansion in the cubic random matrix model, and we evaluate explicitly the expansion coefficients for genus 0 and 1. For genus 0 our formula coincides with the one in [6]. For higher genus, we obtain the asymptotic behavior of the coefficients in the expansion as the number of vertices of the associated graphs tends to infinity. Our study is based on the ...

متن کامل

n-Hermitian Matrix model

We derive the loop equations for the d-dimensional n-Hermitian matrix model. These are a consequence of the Schwinger-Dyson equations of the model. Moreover we show that in leading order of large N the loop equations form a closed set. In particular we derive the loop equations for the n = 2 matrix model recently proposed to describe the coupling of Two-dimensional quantum gravity to conformal ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of High Energy Physics

سال: 2004

ISSN: 1029-8479

DOI: 10.1088/1126-6708/2004/11/031