Mass generation for abelian spin-1 particles via a symmetric tensor

Details Mass generation for abelian spin-1 particles via a symmetric tensor Mass generation for abelian spin-1 particles via a symmetric tensor

2011-08-28

arxiv.org/abs/1108.5489v4

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, no figures, one reference added, two typos on page 3 fixed

Scientific paper

In the topologically massive BF model (TMBF) the photon becomes massive via coupling to an antisymmetric tensor, without breaking the U(1) gauge symmetry . There is no need of a Higgs field. The TMBF model is dual to a first-order (in derivatives) formulation of the Maxwell-Proca theory where the antisymmetric field plays the role of an auxiliary field. Since the Maxwell-Proca theory also admits a first-order version which makes use of an auxiliary symmetric tensor, we investigate here a possible generalization of the TMBF model where the photon acquires mass via coupling to a symmetric tensor. We show that it is indeed possible to build up dual models to the Maxwell-Proca theory where the U(1) gauge symmetry is manifest without Higgs field, but after a local field redefinition the vector field eats up the trace of the symmetric tensor and becomes massive. So the explicit U(1) symmetry can be removed unlike the TMBF model.

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