We show the existence and asymptotic stability of two fixed points of the renormalization group transformation for the hierarchical two-dimensional Coulomb gas in the sine-Gordon representation and temperatures slightly greater than the critical one. We prove also that the correlations at the fixed points decay as in the hierarchical massive scalar free field theory, that is as $d_{xy}^{-4}$. We argue that this is the natural definition of screening in the hierarchical approximation.

Benfatto, G., Renn, J. (1992). Nontrivial fixed points and screening in the hierarchical two-dimensional Coulomb gas. JOURNAL OF STATISTICAL PHYSICS, 67(5-6), 957-980 [10.1007/BF01049006].

Nontrivial fixed points and screening in the hierarchical two-dimensional Coulomb gas.

BENFATTO, GIUSEPPE;
1992-01-01

Abstract

We show the existence and asymptotic stability of two fixed points of the renormalization group transformation for the hierarchical two-dimensional Coulomb gas in the sine-Gordon representation and temperatures slightly greater than the critical one. We prove also that the correlations at the fixed points decay as in the hierarchical massive scalar free field theory, that is as $d_{xy}^{-4}$. We argue that this is the natural definition of screening in the hierarchical approximation.
1992
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/07 - FISICA MATEMATICA
English
Con Impact Factor ISI
Benfatto, G., Renn, J. (1992). Nontrivial fixed points and screening in the hierarchical two-dimensional Coulomb gas. JOURNAL OF STATISTICAL PHYSICS, 67(5-6), 957-980 [10.1007/BF01049006].
Benfatto, G; Renn, J
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/63907
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