Schroedinger Representation of CP(N) Model for Large N

TL;DR

This paper investigates the 1+1 dimensional CP(N) model at large N using the Schrödinger representation, deriving the gap equation, renormalization procedure, and dynamical mass generation.

Contribution

It introduces a Schrödinger representation approach to analyze the large N CP(N) model, deriving key equations and renormalization techniques.

Findings

Derivation of the variational gap equation.

Implementation of renormalization with counter-terms.

Demonstration of dynamical mass generation.

Abstract

We examine the 1+1 dimensional CP(N) model in the large N limit by using the Schroedinger representation. Starting from the Hamiltonian analysis of the model, we present the variational gap equation resulting from the Gaussian trial wave functional. The renormalization of the theory is performed with insertion of mass and energy counter-terms, and the dynamical generation of mass and the energy eigenvalue are derived.