Dual description of U(1) charged fields in (2+1) dimensions

Citation
Cd. Fosco et al., Dual description of U(1) charged fields in (2+1) dimensions, ANN PHYSICS, 290(1), 2001, pp. 27-44
Citations number
23
Categorie Soggetti
Physics
Journal title
ANNALS OF PHYSICS
ISSN journal
00034916 → ACNP
Volume
290
Issue
1
Year of publication
2001
Pages
27 - 44
Database
ISI
SICI code
0003-4916(20010525)290:1<27:DDOUCF>2.0.ZU;2-R
Abstract
We show that the functional bosonization procedure can he generalized in su ch away that, to any held theory with a conserved Abelian charge in 2 + 1 d imensions, there corresponds a dual Abelian gauge field theory. The propert ies of this mapping and of the dual theory are discussed in detail, present ing different explicit examples. In particular, the meaning and effect of t he coefficient of the Chern-Simons term in the dual action is interpreted i n terms of the spin and statistics connection. (C) 2001 Academic Press.