Teorema Central do Limite para o modelo O(N) de Heisenberg hierárquico na criticalidade e o papel do limite N ->infinito na dinâmica dos zeros de Lee-Yang / Central Limit Theorem for the hierarchical O(N) Heisenberg model at criticality and the role of the N ->infinity limit for the Lee-Yang zeros´s dynamics

AUTOR(ES)

William Remo Pedroso Conti

DATA DE PUBLICAÇÃO

2008

RESUMO

In this work we stablish the Central Limit Theorem for the hierarchical O(N) Heisenberg model at criticality via partial differential equation in the limit N ->infinity. For simplicity we only treat the d = 4 case but the theorem is still valid for d >4. By studying a given partial differential equation (PDE) we determine for any d >2 the critical inverse temperature of the continuum hierarchical spherical model, and we show a connection between criticality and the fixed point of PDE. By means of a geometric analysis of the critical trajectory we obtain some informations about Lee-Yang zeros´s dynamics and distribution.

ASSUNTO(S)

trajetória crítica mapeamento conforme zeros de lee-yang partial differential equations renormalization group equações a derivadas parciais grupo de renormalização conformal mapping critical trajectory lee-yang zeros

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