Bosonization of currentcurrent interactions
Abstract
We discuss a generalization of the conventional bosonization procedure to the case of currentcurrent interactions which have a natural representation in terms of current instead of fermionnumberdensity 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 CalogeroSutherland model. For an illustrative nonintegrable example we consider transverse gauge interactions and calculate the fermion Green function.
 Publication:

Physical Review B
 Pub Date:
 June 1994
 DOI:
 10.1103/PhysRevB.49.16893
 arXiv:
 arXiv:condmat/9401012
 Bibcode:
 1994PhRvB..4916893K
 Keywords:

 71.10.+x;
 71.45.d;
 11.40.Dw;
 Collective effects;
 General theory of currents;
 Condensed Matter
 EPrint:
 15 pages, TeX, C Version 3.0, Princeton preprint