ar X iv : c on d - m at / 9 40 10 12 v 2 1 2 Ja n 19 94 December 1993 Bosonization of current - current interactions

نویسنده

  • D. V. Khveshchenko
چکیده

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 ∞ 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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تاریخ انتشار 1994