Applications of the sine-Gordon model in statistical mechanics of Coulomb systems

Physics undergraduate theoretical project, Universidad de los Andes (2022)

This article presents a study of the equivalence between the sine-Gordon model and Coulomb systems. For this, we started from the grand canonical partition function of the particle theory in which the Coulomb systems are found and, through the Hubbard-Stratonovich transformation, we arrived at a canonical partition function in the field theory, where it was shown that the sine-Gordon model is equivalent to the field model of Coulomb systems, because both partition functions coincide. From this it is possible to find applications of the sine-Gordon model, a widely studied model, to the study of Coulomb systems.

Grupo de Física Estadística

Departamento de Física

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Bogotá, Colombia

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Reconocimiento como Universidad: Decreto 1297 del 30 de mayo de 1964.
Reconocimiento personería jurídica: Resolución 28 del 23 de febrero de 1949 Minjusticia.

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