GAUGE-INVARIANT THEORIES OF THE GENERALIZED CHIRAL SCHWINGER MODEL

Citation
Yg. Miao et al., GAUGE-INVARIANT THEORIES OF THE GENERALIZED CHIRAL SCHWINGER MODEL, Zeitschrift fur Physik. C, Particles and fields, 71(3), 1996, pp. 525-531
Citations number
33
Categorie Soggetti
Physics, Particles & Fields
ISSN journal
01709739
Volume
71
Issue
3
Year of publication
1996
Pages
525 - 531
Database
ISI
SICI code
0170-9739(1996)71:3<525:GTOTGC>2.0.ZU;2-B
Abstract
The gauge invariant theories of the generalized chiral Schwinger model are constructed in terms of two schemes with and without Wess-Zumino terms, respectively. Following the former scheme, we calculate the Wes s-Zumino term which cancels the gauge anomaly, and then constitute the gauge invariant theory by adding the Wess-Zumino term to the original Lagrangian of the model. According to the latter, we modify the origi nal Hamiltonian by adding a term composed of constraints of the model. It is so designed that the theory described by the modified Hamiltoni an and its corresponding first-order Lagrangian maintains gauge invari ance. We show by the canonical Dirac method that each of the two gauge invariant theories has the same physical spectrum as that of the orig inal gauge noninvariant formulation.