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Two-Dimensional Thermofield Bosonization

R. L. P. G. Amaral·L. V. Belvedere·K. D. Rothe
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Abstract

The main objective of this paper is to obtain an operator realization for the bosonization of fermions in 1 + 1 dimensions, at finite, non-zero temperature T. This is achieved in the framework of the real time formalism of Thermofield Dynamics. Formally the results parallel those of the T = 0 case. The well known two-dimensional Fermion-Boson correspondences at zero temperature are shown to hold also at finite temperature. In order to emphasize the usefulness of the operator realization for handling a large class of two-dimensional quantum field-theoretic problems, we contrast this global approach with the cumbersome calculation of the fermion-current two-point function in the imaginary-time formalism and real time formalisms. The calculations also illustrate the very different ways in which the transmutation from Fermi-Dirac to Bose-Einstein statistics is realized.

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R. L. P. G. Amaral, L. V. Belvedere, K. D. Rothe. 2005-04-01. Two-Dimensional Thermofield Bosonization. https://doi.org/10.1016/j.aop.2005.07.003

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