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NEW PATH-INTEGRAL QUANTIZATION APPROACH FOR A LAGRANGIAN MODEL IN TERMS OF HUBBARD OPERATORS

A. FOUSSATS

Facultad de Ciencias Exactas Ingeniería y Agrimensura de la UNR, Av. Pellegrini 250-2000 Rosario, Argentina

Miembros del Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina.

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C. REPETTO

Facultad de Ciencias Exactas Ingeniería y Agrimensura de la UNR, Av. Pellegrini 250-2000 Rosario, Argentina

Miembros del Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina.

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O. P. ZANDRON

Facultad de Ciencias Exactas Ingeniería y Agrimensura de la UNR, Av. Pellegrini 250-2000 Rosario, Argentina

Miembros del Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina.

Corresponding author.

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O. S. ZANDRON

Facultad de Ciencias Exactas Ingeniería y Agrimensura de la UNR, Av. Pellegrini 250-2000 Rosario, Argentina

Miembros del Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina.

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https://doi.org/10.1142/S0217979204024720Cited by:2 (Source: Crossref)

Abstract

In the present work the renormalized field theory for the Lagrangian formalism in terms of Hubbard operators is given. It is shown that starting from our path-integral representation found recently, it is possible to contruct the perturbative formalism and the standard Feynman diagram approach for operators verifying the Hubbard algebra. We show that by means of the introduction of proper ghost variables, propagators and vertices can be renormalized to each order. Our Lagrangian approach is checked using the Heisenberg ferromagnet and the antiferromagnet simpler models. In particular, the renormalized ferromagnetic magnon propagator coming from our formalism is studied in details, and it is shown how the softening of the magnon frequency is predicted by the model.

Keywords:

PACS: 11.10.Ef, 75.10.Jm

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