Scalar potentials for vector fields in quantum electrodynamics

Journal Article · Sun Nov 01 00:00:00 EST 1987 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527727· OSTI ID:6117459

Mueller, E E

For an arbitrary vector field F: xelement ofR/sup 3/..-->..F(x)element ofR/sup 3/, the representation F = delPhi+LPsi+delXLchi, where Phi, Psi, chi are scalar potentials, is used to disentangle the longitudinal and transversal degrees of freedom of the electromagnetic field. As a result the potentials for the electromagnetic field can be quantized restriction-free. Replacing the conventional vector potential in the Dirac equation by these Debye potentials provides a manifestly covariant and local description for the interaction of the quantized electromagnetic field with a quantized Dirac field.

• Research Organization: Dublin Institute for Advanced Studies, School of Theoretical Physics, 10, Burlington Road, Dublin 4, Ireland
• OSTI ID: 6117459
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 28:11
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM ELECTRODYNAMICS
SCALAR FIELDS
VECTOR FIELDS
DEGREES OF FREEDOM
DIRAC EQUATION
ELECTROMAGNETIC FIELDS
MAXWELL EQUATIONS
POTENTIALS
QUANTIZATION
SCALARS
DIFFERENTIAL EQUATIONS
ELECTRODYNAMICS
EQUATIONS
FIELD THEORIES
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM FIELD THEORY
WAVE EQUATIONS
645400* - High Energy Physics- Field Theory