Green functions for wave propagation on a five-dimensional manifold and the associated gauge fields generated by a uniformly moving point source

Gauge fields associated with the manifestly covariant dynamics of particles in (3,1) space time are five dimensional (5D). We provide solutions of the classical 5D gauge field equations in both (4,1) and (3,2) flat space-time metrics for the simple example of a uniformly moving point source. Green f...

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Bibliographic Details
Published in:Journal of mathematical physics 2006-12, Vol.47 (12), p.1
Main Authors: Aharonovich, I., Horwitz, L. P.
Format: Article
Language:English
Subjects:
Asymptotic methods
BOUNDARY CONDITIONS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Dimensional analysis
Exact sciences and technology
FIELD EQUATIONS
GAUGE INVARIANCE
Gauges
GREEN FUNCTION
MANY-DIMENSIONAL CALCULATIONS
Mathematical methods in physics
MATHEMATICAL SOLUTIONS
Mathematics
METRICS
Physics
POINT SOURCES
QUANTUM FIELD THEORY
Sciences and techniques of general use
SPACE-TIME
Studies
WAVE EQUATIONS
WAVE PROPAGATION
Wavelet transforms
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Summary:Gauge fields associated with the manifestly covariant dynamics of particles in (3,1) space time are five dimensional (5D). We provide solutions of the classical 5D gauge field equations in both (4,1) and (3,2) flat space-time metrics for the simple example of a uniformly moving point source. Green functions for the 5D field equations are obtained, which are consistent with the solutions for uniform motion obtained directly from the field equations with free asymptotic conditions.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.2401692