Radiative Corrections in Vector-Tensor Models

Details Radiative Corrections in Vector-Tensor Models Radiative Corrections in Vector-Tensor Models

2009-05-05

arxiv.org/abs/0905.0664v1

Int.J.Mod.Phys.A25:163-169,2010

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

10.1142/S0217751X10047804

We consider a two-form antisymmetric tensor field \phi minimally coupled to a non-abelian vector field with a field strength F. Canonical analysis suggests that a pseudoscalar mass term \frac{\mu^2}{2} \tr (\phi\wedge \phi) for the tensor field eliminates degrees of freedom associated with this field. Explicit one loop calculations show that an additional coupling m\tr(\phi\wedge F) (which can be eliminated classically by a tensor field shift) reintroduces tensor field degrees of freedom. We attribute this to the lack of the renormalizability in our vector-tensor model. We also explore a vector-tensor model with a tensor field scalar mass term \frac {\mu^2}{2} \tr (\phi\wedge\star \phi) and coupling m\tr(\phi\wedge \star F). We comment on the Stueckelberg mechanism for mass generation in the Abelian version of the latter model.

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