Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-05-02
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTex 25 pages including 6 psfigs. Contribution to "Lorentz and Poincare Invariance--100 Years in the Development of Relativit
Scientific paper
R. P. Feynman was quite fond of inventing new physics. It is shown that some of his physical ideas can be supported by the mathematical instruments available from the Lorentz group. As a consequence, it is possible to construct a Lorentz-covariant picture of the parton model. It is shown first how the Lorentz group can be used for studying the internal space-time symmetries of relativistic particles. These symmetries are dictated by Wigner's little groups, whose transformations leave the energy-momentum four-vector of a given particle invariant. The symmetry of massive particles is like the three-dimensional rotation group, while the symmetry of massless particles is locally isomorphic to the two-dimensional Euclidean group. It is noted that the E(2)-like symmetry of massless particles can be obtained as an infinite-momentum and/or zero-mass limit of the O(3)-like little group for massive particles. It is shown that the formalism can be extended to cover relativistic particles with space-time extensions, such as heavy ions and hadrons in the quark model. It is possible to construct representations of the little group using harmonic oscillators, which Feynman et al. used for studying relativistic extended hadrons. This oscillator formalism allows us to show that Feynman's parton model is a Lorentz-boosted quark model. The formalism also allows us to explain in detail Feynman's rest of the universe which is contained in his parton picture.
Kim Yong Seol
Noz Marilyn E.
No associations
LandOfFree
Lorentz Group in Feynman's World does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Lorentz Group in Feynman's World, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lorentz Group in Feynman's World will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-4931