Manifestly covariant formulation of discrete-spin and real-mass unitary representations of the Poincare group
| dc.creator | Czachor, Marek | |
| dc.date | 1997-01-26 | |
| dc.date.accessioned | 2026-07-07T04:23:03Z | |
| dc.date.available | 2026-07-07T04:23:03Z | |
| dc.description | Manifestly covariant formulation of discrete-spin, real-mass unitary representations of the Poincaré group is given. We begin with a field of spin-frames associated with 4-mometa p and use them to simplify the eigenvalue problem for the Pauli-Lubanski vector projection in a direction given by a world-vector t. As opposed to the standard treatments where t is a constant time direction, our t is in general p-dependent and timelike, spacelike or null. The corresponding eigenstates play a role of a basis used to define Bargmann-Wigner spinors which form a carrier space of the unitary representation. The construction does not use the Wigner-Mackey induction procedure, is manifestly covariant and works simultaneously in both massive and massless cases (in on- and off-shell versions). Of particular interest are special Bargmann-Wigner spinors ($ω$-spinors) associated with flag pole directions of the spin-frame field $ω_A(p)$. | |
| dc.description | revtex, 21 pages, submitted to Proc.Roy.Soc.London | |
| dc.identifier | https://arxiv.org/abs/hep-th/9701135 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9701135 | |
| dc.identifier | published with minor extensions as "Bargmann-Wigner spinors", Photon and Poincare Group, ed. V.V.Dvoeglazov, pp. 32-62 (Nova, NY, 1999) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/54882 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Physics | |
| dc.title | Manifestly covariant formulation of discrete-spin and real-mass unitary representations of the Poincare group | |
| dc.type | text |