Conformally invariant formulation of quantum electrodynamics

Journal Article · Tue Feb 01 00:00:00 EST 1983 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:5595003

Kozhevnikov, A A; Pal'chik, M Y; Pomeranskii, A A

A self-consistent variant of conformally invariant quantum electrodynamics is formulated. Explicit expressions are constructed for the three-point Green's functions including the electromagnetic potential and the current. These Green's functions are found to be different from the usual conformally invariant expressions. The difference is due to the irreducibility of the representations of the conformal group corresponding to the potential and the current. It is proved that the skeleton perturbation theory constructed from these modified Green's functions is conformally invariant. It is shown that in the conformally invariant theory the classical Maxwell equations in Euclidean space follow from the conditions of (partial) equivalence of the representations corresponding to the fields A/sub ..mu../, F/sub ..mu..//sub ..nu../, and j/sub ..mu../.

• Research Organization: Institute of Automation and Electrometry, Siberian Division, USSR Academy of Sciences
• OSTI ID: 5595003
• Journal Information: Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Vol. 37:2
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM ELECTRODYNAMICS
CONFORMAL INVARIANCE
GREEN FUNCTION
SELF-CONSISTENT FIELD
IRREDUCIBLE REPRESENTATIONS
ELECTRODYNAMICS
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
QUANTUM FIELD THEORY
645400* - High Energy Physics- Field Theory