Covariant Hamiltonian formalisms for particles and antiparticles
High Energy Physics - Theory
2007-05-23 v1
Abstract
The hyperplane and proper time formalisms are discussed mainly for the spin-half particles in the quantum case. A connection between these covariant Hamiltonian formalisms is established. It is showed that choosing the space-like hyperplanes instantaneously orthogonal to the direction of motion of the particle the proper time formalism is retrieved on the mass shell. As a consequence, the relation between the St\"uckelberg-Feynman picture and the standard canonical picture of quantum field theory is clarified.
Keywords
Cite
@article{arxiv.hep-th/9807130,
title = {Covariant Hamiltonian formalisms for particles and antiparticles},
author = {Edgardo T. Garcia Alvarez and Fabian H. Gaioli},
journal= {arXiv preprint arXiv:hep-th/9807130},
year = {2007}
}
Comments
19 pages, Latex, to be published in Int. J. Theor. Phys