Hamiltonian formulation of the smooth bosonization and local gauge symmetry of the massless Thirring model

Using the hamiltonian formalism, we investigate the smooth bosonization method in which bosonization and fermionization are carried out through a specific gauge-fixing of an enlarged gauge invariant theory. The generator of the local gauge symmetry, which cannot be derived from the lagrangian of the...

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Bibliographic Details
Published in:Physics letters. B 1993-08, Vol.313 (1-2), p.103-107
Main Author: Ikehashi, T.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Gauge field theories
General theory of fields and particles
Physics
The physics of elementary particles and fields
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Summary:Using the hamiltonian formalism, we investigate the smooth bosonization method in which bosonization and fermionization are carried out through a specific gauge-fixing of an enlarged gauge invariant theory. The generator of the local gauge symmetry, which cannot be derived from the lagrangian of the enlarged theory, is obtained by making a canonical transformation. We also show that the massless Thirring model possesses a similar local gauge symmetry for a specific value of the coupling constant.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(93)91197-U