Abstract
The linear particle-antiparticle conjugation C and position space reflection P aswell as the antilinear time reflection T are shown to be inducible by theself-duality of representations for the operation groups SU(2), SL(C2), and R forspin, Lorentz transformations, and time translations, respectively. The definitionof a color-compatible linear CP-reflection for quarks as self-duality induced isimpossible since triplet and antitriplet SU(3)-representations are not linearlyequivalent.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
N. Bourbaki,Groupes et Alge`bres de Lie, Hermann, Paris (1975), Chapter 8.
M. Gardner,The New Ambidextrous Universe, Freeman, New York (1990).
G. Lüders,Kong. Dansk Vid. Selskab Mat. Fys. Medd. 28 (1954);Ann. Phys. 2, 1 (1957).
W. Pauli,Niels Bohr and the Development of Physics, McGraw-Hill, New York (1955).
S. Weinberg,Phys. Rev. Lett. 18, 507 (1967).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Saller, H. Duality-Induced Reflections and CPT. International Journal of Theoretical Physics 39, 321–340 (2000). https://doi.org/10.1023/A:1003684225588
Issue Date:
DOI: https://doi.org/10.1023/A:1003684225588