Bosonization of non-relativistic fermions and W-infinity algebra

Journal Article · Fri Jan 10 04:00:00 EST 1992 · Modern Physics Letters A; (Singapore)

DOI:https://doi.org/10.1142/S021773239200344X· OSTI ID:5195911

Das, S R; Dhar, A; Mandal, G ^[1]; Wadia, S R ^[2]

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1. Tata Inst. of Fundamental Research, Homi Bhabha Road, Bombay 400005 (IN)
2. School of Natural Sciences, Inst. for Advanced Study, Princeton, NJ (US)

In this paper the authors 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. The authors also discuss the relation of this action with the one recently arrived at in the Euclidean continuation of the theory using different coordinates.

• OSTI ID: 5195911
• Journal Information: Modern Physics Letters A; (Singapore), Journal Name: Modern Physics Letters A; (Singapore) Vol. 7:1; ISSN 0217-7323; ISSN MPLAE
• Country of Publication: United States
• Language: English

Related Subjects

662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120* -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BOSON EXPANSION
COORDINATES
EUCLIDEAN SPACE
FERMIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MAGNETIC FIELDS
MATHEMATICAL SPACE
PARTICLE PROPERTIES
RIEMANN SPACE
SPACE
SPIN
SYMMETRY GROUPS
THREE-DIMENSIONAL CALCULATIONS
WARD IDENTITY
YANG-MILLS THEORY