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Monte Carlo renormalization-group investigation of the two-dimensional O(4) sigma modelAn improved Monte Carlo renormalization-group method is used to determine the beta function of the two-dimensional O(4) sigma model. While for (inverse) couplings beta = greater than about 2.2 agreement is obtained with asymptotic scaling according to asymptotic freedom, deviations from it are obtained at smaller couplings. They are, however, consistent with the behavior of the correlation length, indicating 'scaling' according to the full beta function. These results contradict recent claims that the model has a critical point at finite coupling.
Document ID
19880053284
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Heller, Urs M.
(California, University Santa Barbara, United States)
Date Acquired
August 13, 2013
Publication Date
May 30, 1988
Publication Information
Publication: Physical Review Letters
Volume: 60
ISSN: 0031-9007
Subject Category
Physics (General)
Accession Number
88A40511
Funding Number(s)
CONTRACT_GRANT: NSF PHY-82-17853
Distribution Limits
Public
Copyright
Other

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