On the Large-Distance Behavior of Correlations for a Hierarchical N-Component Classical Vector Model in Three Dimensions |
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| Authors: | P A Faria da Veiga M O'Carroll R Schor |
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| Institution: | (1) Departamento de Matemática, ICMSC, Universidade de São Paulo, 13560 São Carlos, SP, Brazil;;(2) Departamento de Física, ICEX, Universidade Federal de Minas Gerais, 31270 Belo Horizonte, MG, Brazil; |
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| Abstract: | We consider the correlation functions for a hierarchical N-component classical vector model in three dimensions. For N =  , we find explicitly the eigenvalues and global eigenfunctions of the linearized renormalization group transformation. In a very direct way, this yields the correlation functions for the N = model. In particular, we check that the two-point function has canonical decay. |
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| Keywords: | Large-N vector model correlation functions renormalization group |
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