New local symmetry for QED in two dimensions

Details New local symmetry for QED in two dimensions New local symmetry for QED in two dimensions

2000-03-15

arxiv.org/abs/hep-th/0003128v3

Mod.Phys.Lett.A15:2079-2086,2000

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 7 pages, no figures, journal reference given

Scientific paper

10.1142/S0217732300002681

A new local, covariant and nilpotent symmetry is shown to exist for the interacting BRST invariant U(1) gauge theory in two dimensions of space-time. Under this new symmetry, it is the gauge-fixing term that remains invariant and the corresponding transformations on the Dirac fields turn out to be the analogue of chiral transformations. The extended BRST algebra is derived for the generators of all the underlying symmetries, present in the theory. This algebra turns out to be the analogue of the algebra obeyed by the de Rham cohomology operators of differential geometry. Possible interpretations and implications of this symmetry are pointed out in the context of BRST cohomology and Hodge decomposition theorem.

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