Phase structure analysis of CP(N-1) model using Tensor renormalization group

TL;DR

This paper investigates the phase structure of the two-dimensional lattice CP(1) model using tensor renormalization group methods, comparing results with strong-coupling analysis and examining phase transitions at specific parameters.

Contribution

It applies tensor renormalization group techniques to analyze the phase structure of the CP(1) model and compares findings with traditional strong-coupling analysis.

Findings

TRG results agree with strong-coupling analysis

Identifies the nature of phase transition at =

Provides insights into = phase behavior

Abstract

The phase structure of the lattice CP($N-1$) model in two dimensions is analyzed by the tensor renormalization group (TRG) method. We focus on the case $N=2$ and compare the numerical result of the TRG method with that of the strong-coupling analysis in the presence of the $\theta$ term and investigate the nature of the phase transition at $\theta=\pi$.