The Supereigenvalue Model in the Double–Scaling Limit

نویسنده

  • Jan C. Plefka
چکیده

The double–scaling limit of the supereigenvalue model is performed in the moment description. This description proves extremely useful for the identification of the multi-critical points in the space of bosonic and fermionic coupling constants. An iterative procedure for the calculation of higher–genus contributions to the free energy and to the multi–loop correlators in the double–scaling limit is developed. We present the general structure of these quantities at genus g and give explicit results up to and including genus two. Supported by the ‘Studienstiftung des Deutschen Volkes’

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Supersymmetric Generalizations of Matrix Models

jedoch noch nicht hergeleitet werden. Abstract In this thesis generalizations of matrix and eigenvalue models involving supersym-metry are discussed. Following a brief review of the Hermitian one matrix model, the c = −2 matrix model is considered. Built from a matrix valued superfield this model displays supersymmetry on the matrix level. We stress the emergence of a Nicolai–map of this model ...

متن کامل

Matrix model calculations beyond the spherical limit

We propose an improved iterative scheme for calculating higher genus contributions to the multi-loop (or multi-point) correlators and the partition function of the hermitian one matrix model. We present explicit results up to genus two. We develop a version which gives directly the result in the double scaling limit and present explicit results up to genus four. Using the latter version we prov...

متن کامل

The Chiral Supereigenvalue Model

A supereigenvalue model with purely positive bosonic eigenvalues is presented and solved by considering its superloop equations. This model represents the supersymmetric generalization of the complex one matrix model, in analogy to the relation between the supereigenvalue and the hermitian one matrix model. Closed expressions for all planar multi-superloop correlation functions are found. Moreo...

متن کامل

Double Scaling Limit in the Random Matrix Model: The Riemann-Hilbert Approach

We prove the existence of the double scaling limit in the unitary matrix model with quartic interaction, and we show that the correlation functions in the double scaling limit are expressed in terms of the integrable kernel determined by the ψ function for the Hastings-McLeod solution to the Painlevé II equation. The proof is based on the Riemann-Hilbert approach, and the central point of the p...

متن کامل

ar X iv : h ep - l at / 9 80 91 61 v 1 2 2 Se p 19 98 1 Numerical Studies of the Double Scaling Limit in Large N Reduced Model

We study the two-dimensional Eguchi-Kawai model as a toy model of the IIB matrix model, which has been recently proposed as a nonperturbative definition of the type IIB superstring theory. While the planar limit of the model is known to reproduce the two-dimensional Yang-Mills theory, we find through Monte Carlo simulation that the model allows a different large N limit, which can be considered...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1995