Published April 1977 | Version v1
Journal article

Some comments on Wilson's renormalization group technique as applied to critical phenomena

  • 1. Sao Paulo Univ. (Brazil). Instituto de Fisica

Description

Wilson's renormalization group recursion equations for a spin system are examined and it is found that: a) the convergence of the 4-spin correlation coupling constant (as function of 'l') is improved as one adds higher order correlations. For d<=4 this fact may make a solution of the coupling constant recursion formulae feasible; b) only to first order in eta is renormalization possible in the case of eta S6 theory

Abstract (Portuguese)

As equacoes de recorrencia do metodo do grupo de renormalizacao de Wilson para um sistema de spins sao examinadas e encontra-se que: a) a convergencia da constante de acoplamento da correlacao de quatro spins (como funcao de 'l') melhora quando sao acrescentadas correlacoes de ordem superior. Para d<=4, isso pode tornar praticavel a solucao das formulas de recorrencia para a constante de acoplamento; b) no caso da teoria eta S6, a renormalizacao so e possivel ate primeira ordem em eta

Additional details

Publishing Information

Journal Title
Rev. Bras. Fis.
Journal Volume
7
Journal Issue
1
Series
Rev. Bras. Fis.
Journal Page Range
11-17

INIS

Country of Publication
Brazil
Country of Input or Organization
Brazil
INIS RN
9380218
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
COUPLING CONSTANTS; GAUSSIAN PROCESSES; GROUP THEORY; MANY-BODY PROBLEM; RECURSION RELATIONS; RENORMALIZATION; SPIN
Descriptors DEC
ANGULAR MOMENTUM; MATHEMATICS; PARTICLE PROPERTIES