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arXiv · 1406.4578

Duality and bosonization in Schwinger-Keldysh formulation

R. E. Gamboa Saraví·C. M. Naón·F. A. Schaposnik
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Abstract

We present a path-integral bosonization approach for systems out of equilibrium based on a duality transformation of the original Dirac fermion theory combined with the Schwinger-Keldysh time closed contour technique, to handle the non-equilibrium situation. The duality approach to bosonization that we present is valid for $D \geq 2$ space-time dimensions leading for $D=2$ to exact results. In this last case we present the bosonization rules for fermion currents, calculate current-current correlation functions and establish the connection between the fermionic and bosonic distribution functions in a generic, nonequilibrium situation.

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R. E. Gamboa Saraví, C. M. Naón, F. A. Schaposnik. 2014-06-18. Duality and bosonization in Schwinger-Keldysh formulation. https://doi.org/10.1088/1742-5468%2F2014%2F09%2Fp09034

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