1991/11/11 by Sumit R. Das, Avinash Dhar, Gautam Mandal +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #hep-th
paper · pdf · doi:10.1142/s021773239200344x
published as Mod.Phys.Lett. A7 (1992) 71-84 · 17 pages
arxiv created 1991/11/11 · openalex publication_date 1992/01/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss the bosonization of non-relativistic fermions in one-space dimension in terms of bilocal operators which are naturally related to the generators of W-infinity algebra. The resulting system is analogous to the problem of a spin in a magnetic field for the group W-infinity. The new dynamical variables turn out to be W-infinity group elements valued in the coset W-infinity/H where H is a Cartan subalgebra. A classical action with an H gauge invariance is presented. This action is three-dimensional. It turns out to be similar to the action that describes the color degrees of freedom of a Yang–Mills particle in a fixed external field. We also discuss the relation of this action with the one recently arrived at in the Euclidean continuation of the theory using different coordinates.