The stability of the O(N) invariant fixed point in three dimensions

We study the stability of the O(N) fixed point in three dimensions under perturbations of the cubic type. We address this problem in the three cases N = 2,3,4 by using finite-size scaling techniques and high-precision Monte Carlo simulations. It is well known that there is a critical value below whi...

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Bibliographic Details
Main Authors: Caselle, M. (Author) , Hasenbusch, Martin (Author)
Format: Article (Journal)
Language:English
Published: 1998
In: Journal of physics. A, Mathematical and general
Year: 1998, Volume: 31, Issue: 20, Pages: 4603-4617
ISSN:1361-6447
DOI:10.1088/0305-4470/31/20/004
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1088/0305-4470/31/20/004
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Author Notes:M Caselle and M Hasenbusch
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Summary:We study the stability of the O(N) fixed point in three dimensions under perturbations of the cubic type. We address this problem in the three cases N = 2,3,4 by using finite-size scaling techniques and high-precision Monte Carlo simulations. It is well known that there is a critical value below which the O(N) fixed point is stable and above which the cubic fixed point becomes the stable one. Whilst we cannot exclude that , as recently claimed, our analysis strongly suggests that coincides with 3.
Item Description:Gesehen am 08.07.2022
Physical Description:Online Resource
ISSN:1361-6447
DOI:10.1088/0305-4470/31/20/004