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

Autor:	G. Benfatto, J. Renn
Rok vydání:	1992
Předmět:	Kosterlitz–Thouless transition Transformation (function) Correlation function Exponential stability Scalar (mathematics) Coulomb Statistical and Nonlinear Physics Fixed point Renormalization group Settore MAT/07 - Fisica Matematica Mathematical Physics Mathematical physics Mathematics
Zdroj:	Journal of Statistical Physics. 67:957-980
ISSN:	1572-9613 0022-4715
DOI:	10.1007/bf01049006
Popis:	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 theory, that is, asdxy−4. We argue that this is the natural definition of screening in the hierarchical approximation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::395d3db774a5069d5e7024be5ab945d8 https://doi.org/10.1007/bf01049006 Zobrazit plný text záznamu Full text from SpringerLink