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Non-analyticity of the Callan-Symanzik beta-function of O(N) models

Pelissetto, A. and Vicari, E. (1999) Non-analyticity of the Callan-Symanzik beta-function of O(N) models. Nuclear Physics B - Proceedings Supplements . p. 775. ISSN 1873-3832

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In the framework of the 1/N-expansion we show that the Callan-Symanzik beta- function associated with the four-point coupling g is non-analytic at its zero, i.e. at the fixed-point value g^* of g. This behavior can be interpreted by renormalization group arguments, and written in terms of scaling correction exponents. We obtain accurate determinations of g^* in 3-d and 2-d by exploiting two alternative approaches: the (4-d)-expansion and the high-temperature expansion. These results are compared with the available estimates by other approaches, such as the fixed-dimension perturbative expansion, Monte Carlo simulations, etc... We also present results for the n-point renormalized coupling constants that parameterize the behavior of the effective potential in the high- and low- temperature phases.

Item Type: Article
Additional Information: Imported from arXiv
Subjects: Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici
Divisions: Dipartimenti (until 2012) > DIPARTIMENTO DI FISICA " E. FERMI"
Depositing User: dott.ssa Sandra Faita
Date Deposited: 08 Apr 2015 11:30
Last Modified: 08 Apr 2015 11:30
URI: http://eprints.adm.unipi.it/id/eprint/1754

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