Europhys. Lett, 48 (6), pp. 610-615 (1999)
Non-Chern-Simons topological mass generation in (2+1) dimensions
D. M. Medeiros, R. R. Landim and C. A. S. Almeida
Universidade Federal do Ceará, Departamento de
C.P. 6030, 60470-455 Fortaleza-Ce, Brazil
(received 3 August 1999; accepted in final form 18 October 1999)
PACS. 11.15-q - Gauge field theories.
PACS. 11.10Ef - Lagrangian and Hamiltonian approach.
PACS. 11.10Kk - Field theories in dimensions other than four.
A massive theory in (3+1) dimensions with a Kalb-Ramond field is dimensionally reduced, giving rise to two different topological terms, one involving a scalar and a Kalb-Ramond field and another one equivalent to the four-dimensional term. We constructed two actions with these topological terms and show that a topological mass generation mechanism can be implemented. Using the non-Chern-Simons topological term, an action is proposed leading to a classical duality relation between Klein-Gordon and Maxwell actions. We also show that an action in (2+1) dimensions with the Kalb-Ramond field is related by Buscher's duality transformation to a massive gauge-invariant Stükelberg-type theory.
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