Finite size scaling in CP(N-1) models

Abstract

Finite size effects in Euclidean ${\mathrm{CP}}^{N-1}$ models with periodic boundary conditions are investigated by means of the $1/N$ expansion and by Monte Carlo simulations. Analytic and numerical results for magnetic susceptibility and correlation length are compared and found to agree for small volumes. For large volumes a discrepancy is found and explained as an effect of the physical bound state extension. The leading order finite size effects on the Abelian string tension are computed and compared with simulations finding agreement. Finite size dependence of topological quantities is also discussed.

22 pages, the figures are missing, on request they will be send by mail or FAX

References in corpus (3)

• Simulated Tempering: A New Monte Carlo Scheme
• Topological susceptibility and string tension in the lattice CP(N) models
• Monte Carlo simulation of lattice ${\mathrm{CP}}^{N-1}$ models at large N

Cited by in corpus (14)

• Critical slowing down of topological modes
• Fighting topological freezing in the two-dimensional CP${}^{N-1}$ model
• Metadynamics Surfing on Topology Barriers: the $C{P}^{N-1}$ Case
• Fixed Point Action and Topology in the CP^3 Model
• Large-$N$ expansion and $\theta$-dependence of $2d$ $C{P}^{N-1}$ models beyond the leading order
• Monte Carlo Studies of Two-Dimensional Systems with a $\theta$ Term
• The Euclidean two-point correlation function of the topological charge density
• Topological susceptibility of $2d{\mathrm{CP}}^1$ or $\mathrm{O}(3)$ non-linear $\sigma$-model: is it divergent or not?
• Two-dimensional multicomponent Abelian-Higgs lattice models
• $\theta$-dependence in the small-$N$ limit of $2d$ $C{P}^{N-1}$ models
• The $1/N$ expansion of two-dimensional spin models
• Precision study of critical slowing down in lattice simulations of the CP^{N-1} model
• Image-processing the topological charge density in the CP(N-1) model
• Running coupling constant and correlation length from Wilson loops