The lagrangian description of representations of the Poincare group
نویسنده
چکیده
It is well known that the particles with the value of spin more than two arise naturally when quantizing such classical objects as the relativistic oscillator [1], string [2] or discrete string [3,4]. The challenging problem for these kinds of theories is to construct the lagrangian description both for free and for interacting particles with the higher spins. In order to kill ghosts and all other superfluous representations the field theoretical lagrangians, describing irreducible Poincare representations must possess some gauge invariance. Along with the basic fields such lagrangians in general include additional ones. The role of these fields is to single out the irreducible representation of the Poincare group. Some of them are auxiliary, others can be gauged away. After a gauge fixing and solving the equations of motion for auxiliary fields one is left with the only es-
منابع مشابه
The Lagrangian Description of Representations of the Poincare Groupč
It is well known that the particles with the value of spin more than two arise naturally when quantizing such classical objects as the relativistic oscillator [1], string [2] or discrete string [3,4]. The challenging problem for these kinds of theories is to construct the lagrangian description both for free and for interacting particles with the higher spins. In order to kill ghosts and all ot...
متن کاملOn Lagrangian Formulation for Half-integer HS Fields within Hamiltonian BRST Approach
A recent progress in a gauge-invariant Lagrangian description of massive and massless half-integer higher-spin fields in AdS and Minkowski spaces is presented. The procedure is based on a BFV-BRST operator, encoding the initial conditions realized by constraints in a Fock space and extracting the higher-spin fields from unitary irreducible representations of the AdS (Poincare) group. The constr...
متن کاملExtensions of the Mass 0 Helicity 0 Representation of the Poincare Group
Wigner’s “little group” description of the irreducible representations of the Poincare group associated to the foward light cone is extended to smooth representations of finite length. As an application, we prove that there is a unique indecomposable representation of this group composed of n copies of the mass 0 helicity 0 representation.
متن کامل/ 93 02 04 5 v 1 9 F eb 1 99 3 Poincare invariance in temporal gauge canonical quantization and θ - vacua
The Poincare invariance in the temporal gauge canonical quantization of QCD is shown manifestly by verifying the energy-momentumvector and angular-momentum-tensor satisfy the Poincare algebra in the physical Hilbert space. Two different values of θ for the θ-term in QCD lagrangian lead to different representations of the Poincare group, which are, however, connected by an unitary transformation...
متن کاملOn the real representations of the Poincare group
We do a study of the real representations of the Poincare group, motivated by the following: i) the classical electromagnetic field —from which the Poincare group was originally defined— transforms as a real representation of the Poincare group; ii) the localization of complex unitary representations of the Poincare group is incompatible with causality, Poincare covariance and energy positivity...
متن کامل