Chiral sound waves from a gauge theory of 1D generalized statistics

Details Chiral sound waves from a gauge theory of 1D generalized statistics Chiral sound waves from a gauge theory of 1D generalized statistics

1996-04-06

arxiv.org/abs/cond-mat/9604040v1

Physics

Condensed Matter

6 pages, revtex

Scientific paper

A topological gauge field theory in one spatial dimension is studied, with the gauge fields as generators of two commuting U(1) Ka\u{c}-Moody algebras. Coupling of these gauge fields to nonrelativistic bosonic matter fields, produces a statistical transmutation of the later, as in the Chern-Simons theory in two dimensions. The sound waves of the model are investigated and proven to be chiral bosonic excitations, with the same spectrum as the density fluctuations of the Luttinger model.

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