Correlation function formulas for some infrared asymptotic-free scalar field lattice models via the block renormalization group |
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Authors: | Michael O'Carroll Emmanuel A Pereira |
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Institution: | (1) Departamento de Fisica do ICEx, Universidade Federal de Minas Gerais, Belo Horizonte, Minas Gerais, Brasil |
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Abstract: | We consider a class of scalar field lattice models with action 1/2()+V(), V small. After n block renormalization group transformations, new formulas are obtained for the finite lattice generating and correlation functions. For some infrared asymptotic-free models in the thermodynamic and n limits, the formulas for correlation functions are especially simple, isolate the correct dominant long-distance behavior, and can be used to control the subdominant contributions. |
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Keywords: | 81E15 82A25 |
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