AFFINE TODA SYSTEMS COUPLED TO MATTER FIELDS

Citation
La. Ferreira et al., AFFINE TODA SYSTEMS COUPLED TO MATTER FIELDS, Nuclear physics. B, 470(1-2), 1996, pp. 236-288
Citations number
64
Categorie Soggetti
Physics, Nuclear
Journal title
ISSN journal
05503213
Volume
470
Issue
1-2
Year of publication
1996
Pages
236 - 288
Database
ISI
SICI code
0550-3213(1996)470:1-2<236:ATSCTM>2.0.ZU;2-I
Abstract
We investigate higher grading integrable generalizations of the affine Toda systems, where the Bat connections defining the models take valu es in eigensubspaces of an integral gradation of an affine Kac-Moody a lgebra, with grades varying from l to -l (l > l). The corresponding ta rget space possesses nontrivial vacua and soliton configurations, whic h can be interpreted as particles of the theory, on the same footing a s those associated to fundamental fields. The models can also be formu lated by a hamiltonian reduction procedure From the so-called two-loop WZNW models. We construct the general solution and show the classes c orresponding to the solitons. Some of the particles and solitons becom e massive when the conformal symmetry is spontaneously broken by a mec hanism with an intriguing topological character and leading to a very simple mass formula, The massive fields associated to nonzero, grade g enerators obey field equations of the Dirac type and may be regarded a s matter fields. A special class of models is remarkable. These theori es possess a U(1) Noether current, which, after a special gauge fixing of the conformal symmetry, is proportional to a topological current. This leads to the confinement of the matter field inside the solitons, which can be regarded as a one-dimensional bag model for QCD. These m odels are also relevant to the study of electron self-localization in (quasi-) one-dimensional electron-phonon systems.