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arXiv · 1503.01835

Construction by bosonization of a fermion-phonon model

Edwin Langmann·Per Moosavi
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Abstract

We discuss an extension of the (massless) Thirring model describing interacting fermions in one dimension which are coupled to phonons and where all interactions are local. This fermion-phonon model can be solved exactly by bosonization. We present a construction and solution of this model which is mathematically rigorous by treating it as a limit of a Luttinger-phonon model. A self-contained account of the mathematical results underlying bosonization is included, together with complete proofs.

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Edwin Langmann, Per Moosavi. 2015-03-06. Construction by bosonization of a fermion-phonon model. https://doi.org/10.1063/1.4930299

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