THE SINGLET FIELDS METHOD AND THE LARGE-N EXPANSION OF FIELD THEORIES.

Title: THE SINGLET FIELDS METHOD AND THE LARGE-N EXPANSION OF FIELD THEORIES.
Identifier: AAI8508700
identifier: 8508700
Creator: GUTIERREZ, WALTON RENE.
Contributor: Bunji Sakita
Date: 1985
Language: English
Publisher: City University of New York.
Subject: Physics, Elementary Particles and High Energy
Abstract: We develop the quadratic singlet fields method to provide a general procedure for the large-N expansion of quantum field theories. The first part consists of the application of the singlet fields method to Yukawa interactions. In this case, the singlet field method provides a thorough picture of the large-N expansion. As an important example, the formalism is applied to QCD in two-dimensions. It is well-known that for two dimensional QCD the integral equations of the large-N expansion are solvable, and that all the physical consequences of the model can be calculated. The second part focuses on the extension of the singlet fields method, to treat the large-N expansion of the fermion sector of field theories in four dimensions, such as the matrix model and QCD. The argument is carried out at the formal level of the path integral representation of quantum field theory.
Type: dissertation
Source: PQT Legacy CUNY.xlsx
degree: Ph.D.
Program: Physics

Media: THE SINGLET FIELDS METHOD AND THE LARGE-N EXPANSION OF FIELD THEORIES.