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
Faculty of Sciences. Physics

Department of Physics

article

2015Amsterdam, 2015

Physics

Physics letters: A. - Amsterdam, 1967, currens

379(2015):9, p. 820-822

0375-9601

000351321500004

E

English (eng)

University of Antwerp

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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