Scalar formalism for quantum electrodynamics

Journal Article · Sat Jun 01 00:00:00 EDT 1985 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526945· OSTI ID:5888726

Hostler, L C

A set of Feynman rules, similar to the rules of scalar electrodynamics, is derived for a full quantum electrodynamics based on the relativistic Klein--Gordon--type wave equation )Pi/sub ..mu../Pi/sub ..mu../+m/sup 2/+ie sigma x (E +iB))phi = 0, Pi/sub ..mu../ equivalent-i partial/sub ..mu../-eA/sub ..mu../, for spin- 1/2 particles (J. Math. Phys. 23, 1179 (1982); J. Math. Phys. 24, 2366 (1983)). In this equation, phi is a 2 x 1 Pauli spinor and sigma/sub a/, a = 1,2,3, are the usual 2 x 2 Pauli spin matrices. The irreducible self-energy parts are compared to those of conventional quantum electrodynamics.

• Research Organization: Gibbs Laboratory, Physics Department, Yale University, New Haven, Connecticut 06520
• OSTI ID: 5888726
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:6; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANGULAR MOMENTUM
ANGULAR MOMENTUM OPERATORS
ANNIHILATION OPERATORS
COULOMB FIELD
COUPLING
CREATION OPERATORS
DIAGRAMS
DIFFERENTIAL EQUATIONS
ELECTRIC FIELDS
ELECTRODYNAMICS
ELECTROMAGNETIC FIELDS
EQUATIONS
FEYNMAN DIAGRAM
FIELD THEORIES
HAMILTONIANS
KLEIN-GORDON EQUATION
MATHEMATICAL OPERATORS
MATRICES
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
PAULI SPIN OPERATORS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RENORMALIZATION
S MATRIX
SCALAR FIELDS
SCALARS
SCATTERING AMPLITUDES
SPIN
SPINORS
TIME DEPENDENCE
WAVE EQUATIONS