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Lorentz covariance of three-dimensional equations

  • V. Pascalutsa
  • J. A. Tjon
Part of the Few-Body Systems book series (FEWBODY, volume 10)

Abstract

We show how the invariance under the charge conjugation and CPT symmetry, present in the Bethe-Salpeter equation, is lost in the reduction to certain relativistic three-dimensional equations. This in particular leads to the breakdown of the standard Lorentz structure and renormalization procedures for the resulting single-particle propagators. We formulate the equal-time approximation of the Bethe-Salpeter equation in the form which manifestly satisfies the above symmetries, and apply it to the description of the pion-nucleon interaction in a dynamical model based on hadron exchanges. We also consider the one-body limit of various three-dimensional equations for the case of t- and u-channel one-particle-exchange potential.

Keywords

Charge Conjugation Lorentz Covariance Nucleon Spectator Charge Conjugation Symmetry Bind State Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag/Wien 1999

Authors and Affiliations

  • V. Pascalutsa
    • 1
  • J. A. Tjon
    • 1
  1. 1.Institute for Theoretical PhysicsUniversity of UtrechtUtrechtThe Netherlands

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