416 research outputs found
Hamiltonian vs Lagrangian Embedding of a Massive Spin-one Theory Involving 2-form Field
We consider the Hamiltonian and Lagrangian embedding of a first-order,
massive spin-one, gauge non-invariant theory involving anti-symmetric tensor
field. We apply the BFV-BRST generalised canonical approach to convert the
model to a first class system and construct nil-potent BFV-BRST charge and an
unitarising Hamiltonian. The canonical analysis of the St\"uckelberg
formulation of this model is presented. We bring out the contrasting feature in
the constraint structure, specifically with respect to the reducibility aspect,
of the Hamiltonian and the Lagrangian embedded model. We show that to obtain
manifestly covariant St\"uckelberg Lagrangian from the BFV embedded
Hamiltonian, phase space has to be further enlarged and show how the reducible
gauge structure emerges in the embedded model.Comment: Revtex, 13 pages, no figure, to appear in Int. J. Mod. Phys.
On the equivalence between topologically and non-topologically massive abelian gauge theories
We analyse the equivalence between topologically massive gauge theory (TMGT)
and different formulations of non-topologically massive gauge theories (NTMGTs)
in the canonical approach. The different NTMGTs studied are St\"uckelberg
formulation of (A) a first order formulation involving one and two form fields,
(B) Proca theory, and (C) massive Kalb-Ramond theory. We first quantise these
reducible gauge systems by using the phase space extension procedure and using
it, identify the phase space variables of NTMGTs which are equivalent to the
canonical variables of TMGT and show that under this the Hamiltonian also get
mapped. Interestingly it is found that the different NTMGTs are equivalent to
different formulations of TMGTs which differ only by a total divergence term.
We also provide covariant mappings between the fields in TMGT to NTMGTs at the
level of correlation function.Comment: One reference added and a typos corrected. 15 pages, To appear in
Mod. Phys. Lett.
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