Chiral perturbation theory, finite size effects and the three-dimensional $XY$ model

Abstract

We study finite size effects of the d=3 $XY$ model in terms of the chiral perturbation theory. We calculate by Monte Carlo simulations physical quantities which are, to order of $(1/L{)}^2$, uniquely determined only by two low energy constants. They are the magnetization and the helicity modulus (or the Goldstone boson decay constant) in infinite volume. We also pay a special attention to the region of the validity of the two possible expansions in the theory.

34 pages ( 9 PS files are included. harvmac and epsf macros are needed. ), KYUSHU-HET-17, SAGA-HE-65

References in corpus (1)

• Critical exponents of the three-dimensional classical plane rotator model on the sc lattice from a high temperature series analysis

Cited by in corpus (6)

• Self-Consistent Gaussian Approximation for Classical Spin Systems: Thermodynamics
• Equation of state and Goldstone-mode effects of the three-dimensional O(2) model
• Evidence for O(2) universality at the finite temperature transition for lattice QCD with 2 flavours of massless staggered quarks
• Universal amplitude ratios from numerical studies of the three-dimensional O(2) model
• A Monte Carlo study of the three-dimensional XY universality class:Universal amplitude ratios
• Thermodynamics of the $d$=3+1 Quantum XY Model