Phase transition of surface models with intrinsic curvature

TL;DR

This paper investigates a surface model of Polyakov strings, revealing a first-order phase transition between smooth and crumpled phases driven by intrinsic curvature effects.

Contribution

It demonstrates the existence of a first-order phase transition in a surface model with intrinsic curvature, highlighting the role of the deficit angle term.

Findings

First-order phase transition observed between smooth and crumpled phases.

The model includes a Gaussian term and a deficit angle term.

Intrinsic curvature influences phase behavior.

Abstract

It is reported that a surface model of Polyakov strings undergoes a first-order phase transition between smooth and crumpled (or branched polymer) phases. The Hamiltonian of the model contains the Gaussian term and a deficit angle term corresponding to the weight of the integration measure dX in the partition function.