Renormalization group equations in local approximation |
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Authors: | A. A. Lisyansky Yu. M. Ivanchenko A. A. Filippov |
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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 |
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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= are calculated. |
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Keywords: | Renormalization group critical phenomena phase transitions spherical model. |
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