Field Theory of Finite-Size Effects in O(n) symmetric systems

X.S. Chen; V. Dohm; A. Esser

doi:doi:10.1051/jp1:1995121

Issue		J. Phys. I France Volume 5, Number 2, February 1995


Page(s)		205 - 216
DOI		https://doi.org/10.1051/jp1:1995121

DOI: 10.1051/jp1:1995121
J. Phys. I France 5 (1995) 205-216

Field Theory of Finite-Size Effects in O (n) symmetric systems

X.S. Chen, V. Dohm and A. Esser

Institut für Theoretische Physik, Technische Hochschule Aachen, D-52056 Aachen, Germany

(Received 18 October 1994, received in final form 21 October 1994, accepted 25 October 1994)

Abstract
We propose a new perturbation approach to finite-size effects near the critical point within the $\varphi^4$ field theory for an n-component order parameter with periodic boundary conditions. Our approach is applicable both above and below $T_{\rm c}$ . Calculations of finite-size scaling functions of the specific heat, susceptibility, order parameter, and a cumulant ratio are compared with Monte Carlo data for the three-dimensional XY model. Good overall agreement with the Monte Carlo data is found.