New symmetry properties of pointlike scalar and Dirac particles
Abstract
New symmetry properties are found for pointlike scalar and Dirac particles (Higgs boson and all leptons) in Riemannian and Riemann-Cartan spacetimes in the presence of electromagnetic interactions. A Hermitian form of the Klein-Gordon equation for a pointlike scalar particle in an arbitrary n-dimensional Riemannian (or Riemann-Cartan) spacetime is obtained. New conformal symmetries of initial and Hermitian forms of this equation are ascertained. In the above spacetime, general Hamiltonians in the generalized Feshbach-Villars and Foldy-Wouthuysen representations are derived. The conformal-like transformation conserving these Hamiltonians is found. Corresponding conformal symmetries of a Dirac particle are determined. It is proven that all conformal symmetries remain unchanged by an inclusion of electromagnetic interactions.
Keywords
Cite
@article{arxiv.1501.03635,
title = {New symmetry properties of pointlike scalar and Dirac particles},
author = {Alexander J. Silenko},
journal= {arXiv preprint arXiv:1501.03635},
year = {2015}
}
Comments
14 pages, final version