Two-Dimensional Thermofield Bosonization

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.

30 pages, no figure. Submitted to Annals of Physics

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• Thermal bosonisation in the sine-Gordon and massive Thirring models
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• Quantum Electrodynamics in Two-Dimensions at Finite Temperature. Thermofield Bosonization Approach
• Thermofield Quantum Electrodynamics in 1 + 1 Dimensions at Finite Chemical Potential: A Bosonization Approach
• Two-Dimensional Order and Disorder Thermofields
• The massless thermal field and the thermal fermion bosonization in two dimensions
• On fermionic tilde conjugation rules and thermal bosonization. Hot and cold thermofields
• Thermofield-Bosonization on Compact Space