Bosonization of current-current interactions

Details Bosonization of current-current interactions Bosonization of current-current interactions

1994-01-06

arxiv.org/abs/cond-mat/9401012v2

Physics

Condensed Matter

15 pages, TeX, C Version 3.0, Princeton preprint

Scientific paper

10.1103/PhysRevB.49.16893

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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