N ov 1 99 5 Generalised Hamiltonian embedding of the Proca model
نویسندگان
چکیده
We convert the second class Proca model into a first class theory by using the generalised prescription of Batalin, Fradkin and Tyutin. We then show how a basic set of gauge invariant fields in the embedded model can be identified with the fundamental fields in the proca model as well as with the observables in the Stückelberg model or in the model involving the interaction of an abelian 2-form field with the Maxwell field. The connection of these models with the massive Kalb-Ramond model is also elucidated within a path integral approach.
منابع مشابه
N ov 1 99 6 Some Quantum Aspects of D = 3 Space - Time Massive Gravity
We discuss some features of Einstein-Proca gravity in D = 3 and 4 spacetimes. Our study includes a discussion on the tree-level unitarity and on the issue of light deflection in 3D gravity in the presence of a mass term. 1 [email protected] 2 [email protected]
متن کاملar X iv : h ep - t h / 96 03 15 5 v 2 2 5 N ov 1 99 9 Static Intervortex Forces
A point particle approximation to the classical dynamics of well separated vortices of the abelian Higgs model is developed. A static vortex is asymptotically identical to a solution of the linearized field theory (a Klein-Gordon/Proca theory) in the presence of a singular point source at the vortex centre. It is shown that this source is a composite scalar monopole and magnetic dipole, and the...
متن کاملQuantisation of second class systems in the Batalin-Tyutin formalism
We review the Batalin-Tyutin approach of quantising second class systems which consists in enlarging the phase space to convert such systems into first class. The quantisation of first class systems, it may be mentioned, is already well founded. We show how the usual analysis of Batalin-Tyutin may be generalised, particularly if one is dealing with nonabelian theories. In order to gain a deeper...
متن کاملar X iv : h ep - t h / 97 10 23 2 v 2 1 9 N ov 1 99 7 N = 1 Supersymmetric Quantum Mechanics on a Curved Space
The quantum mechanics of an N = 1 supersymmetric dynamical system constrained to a hypersurface embedded in the higher dimensional Euclidean space is investigated by using the projection-operator method (POM) of constrained systems. It is shown that the resulting Hamiltonian obtained by the successive operations of projection operators contains the ¯ h 2-contributing additional terms, which are...
متن کاملar X iv : h ep - p h / 99 07 34 1 v 3 2 9 N ov 1 99 9 Electromagnetic Corrections to K → ππ I – Chiral Perturbation Theory
An analysis of electromagnetic corrections to the (dominant) octet K → ππ hamiltonian using chiral perturbation theory is carried out. Relative shifts in amplitudes at the several per cent level are found.
متن کامل