Scaling topological charge in the CP3 spin model

1992/05/01 by Ulli Wolff · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #hep-lat

paper · pdf · doi:10.1016/0370-2693(92)91931-x

published as Phys.Lett. B284 (1992) 94-98 · 11 pages, 3 ps-figures

arxiv created 1992/05/01 · openalex publication_date 1992/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The CP³ spin model is simulated at large correlation lengths in two dimensions. An overrelaxation algorithm is employed which yields reduced critical slowing down with dynamical exponents z around unity. We compare our results with recent multigrid data on the massgap m and the spin susceptibility and confirm the absence of asymptotic scaling. As a new result we find scaling for the universal topological susceptibility with values extrapolating to chi_t / m² = 0.156(2) in the continuum limit.

Cited by

• Scaling topological charge in the CP3 model using a fixed point action
• Critical slowing down of topological modes