Grupo de renormalização na aproximação de potencial local para o modelo O(N) de Heisenberg hierárquico: trajetória crítica e somabilidade da expansão 1/N

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Renormalization group in the local potential approximation for the hierarchical O(N) Heisenberg model: critical trajectory and summability of the 1/N expansion

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Author(s):	William Remo Pedroso Conti Total Authors: 1
Document type:	Doctoral Thesis
Press:	São Paulo.
Institution:	Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
Defense date:	2011-11-17
Examining board members:	Silvio Roberto de Azevedo Salinas; Joao Carlos Alves Barata; Gastão de Almeida Braga; Carlos Eugenio Imbassahy Carneiro; Paulo Domingos Cordaro
Advisor:	Domingos Humberto Urbano Marchetti
Abstract
In the local potential approximation (L\\downarrow1) the renormalization group transformation for the hierarchical O(N) Heisenberg model is described by a partial differential equation (PDE). In this work we investigate, at criticality (system at inverse critical temperature), the summability of the formal power series in 1/N which formally satisfies that PDE. (AU)