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Title: The interaction Lagrangian for two spin 1/2 elementary Dirac particles

Abstract

It has been recently shown that the spacetime symmetry group of a Dirac particle is larger than the Poincare group. It also contains spacetime dilations and local rotations. In the quantum representation it becomes WxSU(2), where W is the Weyl group (Poincare group including spacetime dilations) and SU(2) is the unitary representation of the local rotation group. In this work we obtain the interaction Lagrangian for two Dirac particles, which is invariant under this enlarged spacetime group. We analyze the interaction between two Dirac particles, and show that it is possible the existence of metastable bound states for particles of the same charge, provided some initial conditions are fulfilled.

Authors:
 [1]
  1. Theoretical Physics Dept., University of the Basque Country, Apdo.644 48080-Bilbao (Spain)
Publication Date:
OSTI Identifier:
21061891
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 915; Journal Issue: 1; Conference: 17. international spin physics symposium, Kyoto (Japan), 2-7 Oct 2006; Other Information: DOI: 10.1063/1.2750774; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUND STATE; LAGRANGIAN FIELD THEORY; LAGRANGIAN FUNCTION; METASTABLE STATES; PARTICLE INTERACTIONS; POINCARE GROUPS; ROTATION; SPACE-TIME; SPIN; SU-2 GROUPS; SYMMETRY

Citation Formats

Rivas, Martin. The interaction Lagrangian for two spin 1/2 elementary Dirac particles. United States: N. p., 2007. Web. doi:10.1063/1.2750774.
Rivas, Martin. The interaction Lagrangian for two spin 1/2 elementary Dirac particles. United States. https://doi.org/10.1063/1.2750774
Rivas, Martin. 2007. "The interaction Lagrangian for two spin 1/2 elementary Dirac particles". United States. https://doi.org/10.1063/1.2750774.
@article{osti_21061891,
title = {The interaction Lagrangian for two spin 1/2 elementary Dirac particles},
author = {Rivas, Martin},
abstractNote = {It has been recently shown that the spacetime symmetry group of a Dirac particle is larger than the Poincare group. It also contains spacetime dilations and local rotations. In the quantum representation it becomes WxSU(2), where W is the Weyl group (Poincare group including spacetime dilations) and SU(2) is the unitary representation of the local rotation group. In this work we obtain the interaction Lagrangian for two Dirac particles, which is invariant under this enlarged spacetime group. We analyze the interaction between two Dirac particles, and show that it is possible the existence of metastable bound states for particles of the same charge, provided some initial conditions are fulfilled.},
doi = {10.1063/1.2750774},
url = {https://www.osti.gov/biblio/21061891}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 915,
place = {United States},
year = {Wed Jun 13 00:00:00 EDT 2007},
month = {Wed Jun 13 00:00:00 EDT 2007}
}