STOCHASTIC QUANTIZATION AND THE LARGE N REDUCTION OF QUANTUM FIELD THEORIES.

Title: STOCHASTIC QUANTIZATION AND THE LARGE N REDUCTION OF QUANTUM FIELD THEORIES.
Identifier: AAI8319739
identifier: 8319739
Creator: ALFARO, JORGE LUIS.
Contributor: B. Sakita
Date: 1983
Language: English
Publisher: City University of New York.
Subject: Physics, Elementary Particles and High Energy
Abstract: We discuss the Reduction in the large N limit of field theories using the stochastic quantization of Parisi and Wu. The quenched momentum prescription is derived for both globally and locally U(N) symmetric theories in the continuum. Using our approach, the Gross-Kitazawa constraint is not needed to reduce the U(N) gauge theory. Furthermore, the stochastic quantization is extended to include U(N) variables and applied to derive the quenched momentum prescription of U(N) lattice gauge theory. Finally, we use the stochastic regularization to compute the one loop large N, mass renormalization in the four dimensional N x N Hermitian matrix model.
Type: dissertation
Source: PQT Legacy CUNY.xlsx
degree: Ph.D.
Program: Physics

Media: STOCHASTIC QUANTIZATION AND THE LARGE N REDUCTION OF QUANTUM FIELD THEORIES.