Study of the 2-d CP(N-1) models at \theta=0 and \pi

TL;DR

This paper investigates the phase transition and continuum limit of 2-d CP(N-1) models at heta=0 and heta=\pi using a novel D-theory formulation with an efficient cluster algorithm, providing numerical evidence for a first order transition at heta=\pi.

Contribution

It introduces a D-theory formulation with a cluster algorithm for 2-d CP(N-1) models and demonstrates the first order transition at heta=\pi through numerical analysis.

Findings

Evidence for a first order transition at heta=\pi for CP(N-1 extgreater=2) models.

Validation of the continuum limit equivalence between D-theory and lattice formulations.

Development of an efficient cluster algorithm for these models.

Abstract

We present numerical results for 2-d CP(N-1) models at \theta=0 and \pi obtained in the D-theory formulation. In this formulation we construct an efficient cluster algorithm and we show numerical evidence for a first order transition for CP(N-1\geq 2) models at \theta = \pi. By a finite size scaling analysis, we also discuss the equivalence in the continuum limit of the D-theory formulation of the 2-d CP(N-1) models and the usual lattice definition.