https://doi.org/10.1140/epjc/s10052-016-3913-3
Regular Article - Theoretical Physics
Gauge-invariant massive BF models
Department of Physics, University of Craiova, 13 Al. I. Cuza Str., 200585, Craiova, Romania
* e-mail: bizdadea@central.ucv.ro
Received:
17
November
2015
Accepted:
27
January
2016
Published online:
6
February
2016
Consistent interactions that can be added to a free, Abelian gauge theory comprising a BF model and a finite set of massless real scalar fields are constructed from the deformation of the solution to the master equation based on specific cohomological techniques. Under the hypotheses of analyticity in the coupling constant, Lorentz covariance, spacetime locality, and Poincaré invariance, supplemented with the requirement of the preservation of the number of derivatives on each field with respect to the free theory, we see that the deformation procedure leads to two classes of gauge-invariant interacting theories with a mass term for the BF vector field 
with U(1) gauge invariance. In order to derive this result we have not used the Higgs mechanism based on spontaneous symmetry breaking.
© The Author(s), 2016
