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Renormalization group equations in local approximation
Authors:A. A. Lisyansky  Yu. M. Ivanchenko  A. A. Filippov
Affiliation:(1) Department of Physics, Queens College of City University of New York, 11367 Flushing, New York;(2) Department of Physics, Polytechnic University, 11201 Brooklyn, New York;(3) Donetsk Physico-Technical Institute of the Ukrainian Academy of Sciences, 340114 Donetsk, USSR
Abstract:For a class of models with Ginzburg-Landau-Wilson functions of a local form it is proved that the spectrum of a renormalization group operator which is linearized near a fixed point is discrete, real, and limited from above. In the framework of a local model, critical exponents for the limitn=infin are calculated.
Keywords:Renormalization group  critical phenomena  phase transitions  spherical model.
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