Eur. Phys. J. B 42, 561-566 (2004)
https://doi.org/10.1140/epjb/e2005-00015-9

Phase transition of surface models with intrinsic curvature

Department of Mechanical and Systems Engineering, Ibaraki College of Technology, Nakane 866, Hitachinaka, Ibaraki 312-8508, Japan

Corresponding author: ^a koibuchi@mech.ibaraki-ct.ac.jp

Received: 23 May 2004
Revised: 22 November 2004
Published online: 18 January 2005

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.