RT journal article
T1 Proper scalar product for tachyon representations in configuration space
A1 López Ruiz, Francisco Felipe
A1 Guerrero, J.
A1 Aldaya, V.
A2 Física Aplicada
AB We propose a new inner product for scalar fields that are solutions of the Klein-Gordon equation with m(2) < 0. This inner product is nonlocal, bearing an integral kernel including Bessel functions of the second kind. The associated norm proves to be positive definite in the subspace of oscillatory solutions, as opposed to the conventional one, although some regularization procedure is required. Poincare transformations are unitarily implemented on this subspace, which is the support of a unitary and irreducible representation of the proper orthochronous Poincare group. We also provide a new Fourier transform between configuration and momentum spaces, which is unitary, and recover the projection onto the representation space. This new scenario suggests a revision of the corresponding quantum field theory.
PB AMER PHYSICAL SOC
SN 2470-0010
YR 2020
FD 2020-12
LK http://hdl.handle.net/10498/24304
UL http://hdl.handle.net/10498/24304
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 12-nov-2026