# Scaling and asymptotic scaling in two-dimensional $CP^{N-1}$ models

Campostrini, Massimo and Rossi, Paolo and Vicari, Ettore (1993) Scaling and asymptotic scaling in two-dimensional $CP^{N-1}$ models. Nuclear Physics B - Proceedings Supplements . p. 819. ISSN 1873-3832

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## Abstract

Two-dimensional $CP^{N-1}$ models are investigated by Monte Carlo methods on the lattice, for values of $N$ ranging from 2 to 21. Scaling and rotation invariance are studied by comparing different definitions of correlation length $\xi$. Several lattice formulations are compared and shown to enjoy scaling for $\xi$ as small as $2.5$. Asymptotic scaling is investigated using as bare coupling constant both the usual $\beta$ and $\beta_E$ (related to the internal energy); the latter is shown to improve asymptotic scaling properties. Studies of finite size effects show their $N$-dependence to be highly non-trivial, due to the increasing radius of the $\bar z z$ bound states at large $N$.

Item Type: Article Imported from arXiv Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici Dipartimenti (until 2012) > DIPARTIMENTO DI FISICA " E. FERMI" dott.ssa Sandra Faita 09 Apr 2015 15:46 09 Apr 2015 15:46 http://eprints.adm.unipi.it/id/eprint/1812

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