IJPAM: Volume 65, No. 3 (2010)

IRREDUCIBLE REPRESENTATIONS OF
THE $\bold{CPT}$ GROUPS IN QED

B. Carballo Pérez$^1$, M. Socolovsky$^2$
Instituto de Ciencias Nucleares
Universidad Nacional Autónoma de México
Circuito Exterior, Ciudad Universitaria, 04510, México D.F., MÉXICO
$^1$e-mail: brendacp@nucleares.unam.mx
$^2$e-mail: socolovs@nucleares.unam.mx


Abstract.We construct the inequivalent irreducible representations (IIR's) of the $CPT$ groups of the Dirac field operator $\hat{\psi}$ and the electromagnetic quantum potential $\hat{A_{\mu}}$. The results are valid both for free and interacting (QED) fields. Also, and for the sake of completeness, we construct the IIR's of the $CPT$ group of the Dirac equation.

Received: December 11, 2009

AMS Subject Classification: 20C30, 20C35

Key Words and Phrases: $CPT$ groups, Dirac-Maxwell fields, irreducible representations

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 65
Issue: 3