23 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.
Born-Infeld Chern-Simons Theory: Hamiltonian Embedding, Duality and Bosonization
In this paper we study in detail the equivalence of the recently introduced
Born-Infeld self dual model to the Abelian Born-Infeld-Chern-Simons model in
2+1 dimensions. We first apply the improved Batalin, Fradkin and Tyutin scheme,
to embed the Born-Infeld Self dual model to a gauge system and show that the
embedded model is equivalent to Abelian Born-Infeld-Chern-Simons theory. Next,
using Buscher's duality procedure, we demonstrate this equivalence in a
covariant Lagrangian formulation and also derive the mapping between the
n-point correlators of the (dual) field strength in Born-Infeld Chern-Simons
theory and of basic field in Born-Infeld Self dual model. Using this
equivalence, the bosonization of a massive Dirac theory with a non-polynomial
Thirring type current-current coupling, to leading order in (inverse) fermion
mass is also discussed. We also re-derive it using a master Lagrangian.
Finally, the operator equivalence between the fermionic current and (dual)
field strength of Born-Infeld Chern-Simons theory is deduced at the level of
correlators and using this the current-current commutators are obtained.Comment: 27 pages, One reference added, minor changes in presentation and
typos corrected. To appear in Nucl. Phys.
Aspects of Noncommutative Scalar/Tensor Duality
We study the noncommutative massless Kalb-Ramond gauge field coupled to a
dynamical U(1) gauge field in the adjoint representation together with a
compensating vector field. We derive the Seiberg-Witten map and obtain the
corresponding mapped action to first order in . The (emergent) gravity
structure found in other situations is not present here. The off-shell dual
scalar theory is derived and it does not coincide with the Seiberg-Witten
mapped scalar theory. Dispersion relations are also discussed. The p-form
generalization of the Seiberg-Witten map to order is also derived.Comment: 7 pages, typos corrected, a footnote removed and a sentence added in
the tex
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.
Dual Linearised Gravity in Arbitrary Dimensions
We construct dual formulation of linearised gravity in first order tetrad
formalism in arbitrary dimensions within the path integral framework following
the standard duality algorithm making use of the global shift symmetry of the
tetrad field. The dual partition function is in terms of the (mixed symmetric)
tensor field in {\it frame-like}
formulation. We obtain in d-dimensions the dual Lagrangian in a closed form in
terms of field strength of the dual frame-like field. Next by coupling a source
with the (linear) Riemann tensor in d-dimensions, dual generating functional is
obtained. Using this an operator mapping between (linear) Riemann tensor and
Riemann tensor corresponding to the dual field is derived and we also discuss
the exchange of equations of motion and Bianchi identity.Comment: 14 pages, typos corrected, Published version: Class. Quantum Grav.
22(2005)538
The Central Charge of the Warped AdS^3 Black Hole
The AdS/CFT conjecture offers the possibility of a quantum description for a
black hole in terms of a CFT. This has led to the study of general AdS^3 type
black holes with a view to constructing an explicit toy quantum black hole
model. Such a CFT description would be characterized by its central charge and
the dimensions of its primary fields. Recently the expression for the central
charges (C_L, C_R) of the CFT dual to the warped AdS^3 have been determined
using asymptotic symmetry arguments. The central charges depend, as expected,
on the warping factor. We show that topological arguments, used by Witten to
constrain central charges for the BTZ black hole, can be generalized to deal
with the warped AdS^3 case. Topology constrains the warped factor to be
rational numbers while quasinormal modes are conjectured to give the dimensions
of primary fields. We find that in the limit when warping is large or when it
takes special rational values the system tends to Witten's conjectured unique
CFT's with central charges that are multiples of 24.Comment: 6 pages, Latex fil
Topologically Massive Abelian Gauge Theory From BFT Hamiltonian Embedding of A First-order Theory
We start with a new first order gauge non-invariant formulation of massive
spin-one theory and map it to a reducible gauge theory viz; abelian
theory by the Hamiltonian embedding procedure of Batalin, Fradkin
and Tyutin(BFT). This equivalence is shown from the equations of motion of the
embedded Hamiltonian. We also demonstrate that the original gauge non-invariant
model and the topologically massive gauge theory can both be obtained by
suitable choice of gauges, from the phase space partition function of the
emebedded Hamiltonian, proving their equivalence. Comparison of the first order
formulation with the other known massive spin-one theories is also discussed.Comment: 18 pages, final version to appear in Nuclear Physics