Large N Limit of Higher Derivative Extended CP(N) Model

TL;DR

This paper develops a higher derivative CP(N) model in 1+1 dimensions, analyzes its quantization and renormalizability in the large N limit, and explores its connection to axion physics.

Contribution

It introduces a fourth-order derivative CP(N) model with topological charge squared term and studies its quantization and large N behavior.

Findings

The model is renormalizable in the large N limit.

Explicit path integral quantization is achieved.

Potential relevance to axion physics is discussed.

Abstract

We construct a fourth-order derivative CP(N) model in 1+1 dimensions by incorporating the topological charge density squared term into the Lagrangian. We quantize the theory by reformulating with auxiliary fields and then performing the path integral explicitly. We discuss the renormalizability in the large N limit and relevance of the effective action with axion physics.