This paper discusses the sense in which the large N limits of various quantum theories are
equivalent to classical limits. A general method for finding classical limits in arbitrary …

Most of the physical laws are only approximate. The P and T symmetries are broken, the
neutrino has mass, the proton is expected to decay etc. The new discoveries usually reveal …

QCD is entirely reformulated in terms of white composite fields—the traces of the loop
products. The 1/N expansion turns out to be the WKB (Hartree-Fock) approximation for these …

We study the properties of the loop equations for the N× N Hermitian matrix model with
arbitrary (even) interaction as well as of their continuum limit, associated with the two …

We study the structure of the normal matrix model (NMM). We show that all correlation
functions of the model with an axially symmetric potential can be expressed in terms of a …

Simple model systems like the O (N) σ model, the Gross-Neveu model, and the random
matrix model are solved at N→∞ using Dyson-Schwinger equations and the fact that the …

The general features of the 1/N expansion in statistical mechanics and quantum field theory
are briefly reviewed both from the theoretical and from the phenomenological point of view …

It is shown how to calculate the Wilson loop average for self-intersecting contours in two-
dimensional lattice U (∞) gauge theory by means of the lattice contour equations. Some …

Traces in Two-Dimensional QCD: The Large-N Limit Page 1 Traces in Two-Dimensional QCD:
The Large-N Limit Ambar N. Sengupta Abstract. An overview of mathematical aspects of U(N) …

The loop equations defining the lattice U (N) gauge theory are recalled and a formal solution
is presented (for N= 1 and N→∞). Wilson's expectation function W (C) for a loop C is …