The 1/n Expansion for the n-Vector Model in the Semi-Infinite Space
- 1 November 1983
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 70 (5) , 1226-1239
- https://doi.org/10.1143/ptp.70.1226
Abstract
The 1/n expansion method is developed in the study of the critical behavior of the n-vector model with a free surface. The method is applied at the bulk critical temperature (T = Tc) in the absence of the surface ordering. The surface critical exponents η;// and η;⊥ are identified up to order 1/n for general spatial dimension d: 2 ≪ d ≪ 4 for the ordinary transition and 3 ≪ d ≪4 for the special transition. The results are compared with several scaling relations, other theories and some experiments.Keywords
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