RT journal article
T1 Tachyons in “momentum-space” representation
A1 Aldaya, V.
A1 Guerrero, J.
A1 López Ruiz, Francisco Felipe
A2 Física Aplicada
K1 Poincare group
K1 Quantum
K1 Quantization
AB Obtaining the momentum space associated with tachyonic “particles” from the Poincaré group manifold proves to be rather intricate, departing very much from the ordinary dual to Minkowski space directly parametrized by space-time translations of the Poincaré group. In fact, although described by the constants of motion (Noether invariants) associated with space-time translations, they depend non-trivially on the parameters of the rotation subgroup. However, once the momentum space is parametrized by the Noether invariants, it behaves as that of ordinary particles. On the other hand, the evolution parameter is no longer the one associated with time translation, whose Noether invariant, Po, is now a basic one. Evolution takes place in a spatial direction. These facts not only make difficult the computation of the corresponding representation, but also force us to a sound revision of several traditional ingredients related to Cauchy hypersurface, scalar product and, of course, causality. After that, the theory becomes consistent and could shed new light on some special physical situations like inflation or traveling inside a black hole.
PB Elsevier
SN 0550-3213
YR 2024
FD 2024
LK http://hdl.handle.net/10498/35845
UL http://hdl.handle.net/10498/35845
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026