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Scaling topological charge in the CP$^{3}$ spin model

The CP^3 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...

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Detalles Bibliográficos
Autor principal: Wolff, Ulli
Lenguaje:eng
Publicado: 1992
Materias:
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(92)91931-X
http://cds.cern.ch/record/234622
Descripción
Sumario:The CP^3 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 / m^2 = 0.156(2) in the continuum limit.