While internal space-time symmetries of relativistic particles are dictated
by the little groups of the Poincar\'e group, it is possible to construct
representations of the little group for massive particles starting from
harmonic oscillator wave functions for the quark model. The resulting
oscillator wave functions are covariant and can be Lorentz-boosted. It is thus
possible to obtain the parton model by boosting the quark model. A review of
Wigner's theory of the little groups is given. It is shown that the covariant
oscillator wave functions become squeezed as as the system becomes boosted. It
is shown also that the Lorentz-squeezed quark distribution exhibits the
peculiarities of Feynman's parton model including the lack of coherence in the
calculation of cross sections. A historical review of the concept of covariance
is given.
Publié le : 1998-05-08
Classification:
High Energy Physics - Phenomenology,
High Energy Physics - Theory,
Mathematical Physics,
Nuclear Theory,
Quantum Physics
@article{9805263,
author = {Kim, Y. S.},
title = {Covariant Model of Relativistic Extended Particles based on the
Oscillator Representation of the Poincar\'e Group},
journal = {arXiv},
volume = {1998},
number = {0},
year = {1998},
language = {en},
url = {http://dml.mathdoc.fr/item/9805263}
}
Kim, Y. S. Covariant Model of Relativistic Extended Particles based on the
Oscillator Representation of the Poincar\'e Group. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9805263/