144 research outputs found
Couplings between a collection of BF models and a set of three-form gauge fields
Consistent interactions that can be added to a free, Abelian gauge theory
comprising a collection of BF models and a set of three-form gauge fields are
constructed from the deformation of the solution to the master equation based
on specific cohomological techniques. Under the hypotheses of smooth, local, PT
invariant, Lorentz covariant, and Poincare invariant interactions, supplemented
with the requirement on the preservation of the number of derivatives on each
field with respect to the free theory, we obtain that the deformation procedure
modifies the Lagrangian action, the gauge transformations as well as the
accompanying algebra.Comment: 17 page
Extravariables in the BRST Quantization of Second-Class Constrained Systems; Existence Theorems
In this paper we show how the BRST quantization can be applied to systems
possessing only second-class constraints through their conversion to some
first-class ones starting with our method exposed in [Nucl.Phys. B456
(1995)473]. Thus, it is proved that i) for a certain class of second-class
systems there exists a standard coupling between the variables of the original
phase-space and some extravariables such that we can transform the original
system into a one-parameter family of first-class systems; ii) the BRST
quantization of this family in a standard gauge leads to the same path integral
as that of the original system. The analysis is accomplished in both reducible
and irreducible cases. In the same time, there is obtained the Lagrangian
action of the first-class family and its provenience is clarified. In this
context, the Wess-Zumino action is also derived. The results from the
theoretical part of the paper are exemplified in detail for the massive
Yang-Mills theory and for the massive abelian three-form gauge fields.Comment: LaTeX, 37 pages; Correctly formatted version; The authors may be
reached at e-mail address: [email protected]
Note on two-dimensional nonlinear gauge theories
A two-dimensional nonlinear gauge theory that can be proposed for
generalization to higher dimensions is derived by means of cohomological
arguments.Comment: 12 pages, LaTeX 2.
Irreducible Antifield Analysis of -Form Gauge Theories
The irreducible antifield formalism for -form gauge theories with gauge
invariant interaction terms is exposed. The ghosts of ghosts do not appear. The
acyclicity of the Koszul-Tate operator is ensured without introducing
antifields at resolution degrees higher that two.Comment: 11 pag, latex 2.09, no figure
Yes-go cross-couplings in collections of tensor fields with mixed symmetries of the type (3,1) and (2,2)
Under the hypotheses of analyticity, locality, Lorentz covariance, and
Poincare invariance of the deformations, combined with the requirement that the
interaction vertices contain at most two space-time derivatives of the fields,
we investigate the consistent cross-couplings between two collections of tensor
fields with the mixed symmetries of the type (3,1) and (2,2). The computations
are done with the help of the deformation theory based on a cohomological
approach in the context of the antifield-BRST formalism. Our results can be
synthesized in: 1. there appear consistent cross-couplings between the two
types of field collections at order one and two in the coupling constant such
that some of the gauge generators and of the reducibility functions are
deformed, and 2. the existence or not of cross-couplings among different fields
with the mixed symmetry of the Riemann tensor depends on the indefinite or
respectively positive-definite behaviour of the quadratic form defined by the
kinetic terms from the free Lagrangian.Comment: 35 page
Gauge-invariant massive BF models
Consistent interactions that can be added to a free, Abelian gauge theory
comprising a BF model and a finite set of massless real scalar fields are
constructed from the deformation of the solution to the master equation based
on specific cohomological techniques. Under the hypotheses of analyticity in
the coupling constant, Lorentz covariance, spacetime locality, Poincare
invariance, supplemented with the requirement on the preservation of the number
of derivatives on each field with respect to the free theory, we obtain that
the deformation procedure leads to two classes of gauge-invariant interacting
theories with a mass term for the BF vector field with U(1) gauge
invariance. In order to derive this result we have not used the Higgs mechanism
based on spontaneous symmetry breaking.Comment: 63 page
Irreducible Hamiltonian BRST-anti-BRST symmetry for reducible systems
An irreducible Hamiltonian BRST-anti-BRST treatment of reducible first-class
systems based on homological arguments is proposed. The general formalism is
exemplified on the Freedman-Townsend model.Comment: LaTeX 2.09, 35 page
On Chapline-Manton couplings: a cohomological approach
Chern-Simons couplings between Yang-Mills gauge fields and an abelian 2-form
are derived by means of cohomological arguments.Comment: 10 pages, LaTeX 2.0
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