We consider the block spin variables for the two-dimensional Ising model out of the critical point. We prove that the block spin interaction tends in norm to a one-body quadratic potential if the side of the blocks tends to infinity. This result, that is a sharp form of the central limit theorem, is achieved by means of a renormalization of the diverging interaction between two adjacent blocks. © 1986 Società Italiana di Fisica.
THE LARGE BLOCK SPIN INTERACTION / Cammarota, Camillo. - In: IL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. B, GENERAL PHYSICS, RELATIVITY, ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS. - ISSN 1594-9982. - 96:1(1986), pp. 1-16. [10.1007/bf02725573]
THE LARGE BLOCK SPIN INTERACTION
CAMMAROTA, Camillo
1986
Abstract
We consider the block spin variables for the two-dimensional Ising model out of the critical point. We prove that the block spin interaction tends in norm to a one-body quadratic potential if the side of the blocks tends to infinity. This result, that is a sharp form of the central limit theorem, is achieved by means of a renormalization of the diverging interaction between two adjacent blocks. © 1986 Società Italiana di Fisica.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
