Topologically Massive Models from Higgs Mechanism
نویسنده
چکیده
A new variational principle allowing the implementation of the Higgs mechanism for abelian theories over non-trivial background flat connections is proposed. It is found that the mass generated for the spin 1 excitation is the same as the one obtained from the standard Higgs mechanism over trivial backgrounds, however, the dynamical structure of the action for the Higgs scalar is completely different from the usual approach. There is a topological contribution to the mass term of the Higgs field. After functional integration over all backgrounds, it is shown that the action for the massive spin 1 excitation is dual to the Topologically Massive Models in any dimension.
منابع مشابه
Higgs Mechanism with a Topological Term
In cases of both abelian and nonabelian gauge groups, we consider the Higgs mechanism in topologically massive gauge theories in an arbitrary space-time dimension. It is shown that the presence of a topological term makes it possible to shift mass of gauge fields in a nontrivial way compared to the conventional value at the classical tree level. We correct the previous misleading statement with...
متن کاملar X iv : h ep - t h / 03 05 11 2 v 1 1 3 M ay 2 00 3 On the dual equivalence of the self - dual and topologically massive p - form models
We study the duality symmetry in p-form models containing a generalized Bq ∧ Fp+1 term in spacetime manifolds of arbitrary dimensions. The equivalence between the Bq ∧Fp+1 self-dual (SDB∧F ) and the Bq ∧Fp+1 topologically massive (TMB∧F ) models is established using a gauge embedding procedure, including the minimal coupling to conserved charged matter current. The minimal coupling adopted for ...
متن کاملar X iv : h ep - t h / 03 05 11 2 v 2 2 7 M ay 2 00 3 On the dual equivalence of the self - dual and topologically massive p - form models
We study the duality symmetry in p-form models containing a generalized Bq ∧ Fp+1 term in spacetime manifolds of arbitrary dimensions. The equivalence between the Bq ∧Fp+1 self-dual (SDB∧F ) and the Bq ∧Fp+1 topologically massive (TMB∧F ) models is established using a gauge embedding procedure, including the minimal coupling to conserved charged matter current. The minimal coupling adopted for ...
متن کاملIS IT PHYSICALLY SOUND TO ADD A TOPOLOGICALLY MASSIVE TERM TO THREE-DIMENSIONAL MASSIVE ELECTROMAGNETIC OR GRAVITATIONAL MODELS ? ANTONIO ACCIOLY and MARCO DIAS
The addition of a topologically massive term to an admittedly nonunitary three-dimensional massive model, be it an electromagnetic system or a gravitational one, does not cure its non-unitarity. What about the enlargement of avowedly unitary massive models by way of a topologically massive term? The electromagnetic models remain unitary after the topological augmentation but, surprisingly enoug...
متن کاملWinding number versus Chern–Pontryagin charge
In the usual d dimensional SO(d) gauged Higgs models with d-component Higgs fields, the ’energies’ of the topologically stable solitons are bounded from below by the ChernPontryagin charges. A new class of Higgs models is proposed here, whose ’energies’ are stabilised instead by the winding number of the Higgs field itself, with no reference to the gauge group. Consequently, such Higgs models c...
متن کامل