Title
Toward a final theory of critical exponents in terms of dimensionality d plus universality class nToward a final theory of critical exponents in terms of dimensionality d plus universality class n
Author
Faculty/Department
Faculty of Sciences. Physics
Research group
Department of Physics
Publication type
article
Publication
Amsterdam,
Subject
Physics
Source (journal)
Physics letters: A. - Amsterdam, 1967, currens
Volume/pages
379(2015):9, p. 820-822
ISSN
0375-9601
ISI
000351321500004
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
To gain orientation, it is first shown that the critical exponents of the Gaussian model (GM) are embraced by the AdS/CFT model of Iqbal, Liu and Mezei (2012) [1] (ILM below). While the GM exponents involve solely the dimensionality d, we then demonstrate how the universality class n can also be included via ILM model in the case of sufficiently large n. These latter results can be viewed as approximate summations of the epsilon expansion to all orders for sufficiently large n. For the three exponents beta, nu and eta the range of validity may be wider in the variable n. However, the exponent gamma is always unity in the ILM model, independently of the choice of n and d. Generalizations of the ILM string theory model should therefore be sought. Furthermore, this Letter discusses the critical exponents expressed in terms of both the dimensionality d and the universality class n, and specially, some formulae for large n limit have been given. (C) 2015 Elsevier B.V. All rights reserved.
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