IJPAM: Volume 65, No. 3 (2010)
IRREDUCIBLE REPRESENTATIONS OF
THE
GROUPS IN QED
THE

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


Instituto de Ciencias Nucleares
Universidad Nacional Autónoma de México
Circuito Exterior, Ciudad Universitaria, 04510, México D.F., MÉXICO


Abstract.We construct the inequivalent irreducible representations (IIR's) of the groups of the Dirac field operator
and the electromagnetic quantum potential
. 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
group of the Dirac equation.
Received: December 11, 2009
AMS Subject Classification: 20C30, 20C35
Key Words and Phrases: groups, Dirac-Maxwell fields, irreducible representations
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 65
Issue: 3