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International Journal of Theoretical Physics

, Volume 2, Issue 3, pp 201–211 | Cite as

Causality restrictions on relativistic extensions of particle symmetries

  • P. Roman
  • R. M. Santilli
Article

Abstract

Relativistic extensions of internal hadron symmetry groups are investigated from the viewpoint of causality requirements. Zeeman's group theoretical definition of causality is adopted and various physically interesting structures of relativistic extensions are studied from the viewpoint of whether they preserve or violate causality. Four theorems that guarantee causality preservation, and three theorems that violate it are deduced. It is concluded that there does not exist a non-trivial coupling of the Poincaré group and an internal symmetry group, such asSU(3) orSU(6), preserving causality in a Minkowski space. Extensions in complex or in curved manifolds are briefly discussed.

Keywords

Manifold Field Theory Elementary Particle Quantum Field Theory Symmetry Group 
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

© Plenum Publishing Company Limited 1969

Authors and Affiliations

  • P. Roman
    • 1
  • R. M. Santilli
    • 1
  1. 1.Department of PhysicsBoston UniversityBoston

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