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Bosonization of current-current interactions

D. V. Khveshchenko
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Abstract

We discuss a generalization of the conventional bosonization procedure to the case of current-current interactions which get their natural representation in terms of current instead of fermion number density operators. A consistent bosonization procedure requires a geometrical quantization of the hamiltonian action of $W_\infty$ on its coadjoint orbits. An integrable example of a nontrivial realization of this symmetry is presented by the Calogero-Sutherland model. For an illustrative nonintegrable example we consider transverse gauge interactions and calculate the fermion Green function.

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D. V. Khveshchenko. 1994-01-12. Bosonization of current-current interactions. https://doi.org/10.1103/physrevb.49.16893

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