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

## Abstract

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.

- Authors:

- Department of Physics, Bar-Ilan University, Ramat Gan (Israel)
- (Israel)

- Publication Date:

- OSTI Identifier:
- 20861560

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 47; Journal Issue: 12; Other Information: DOI: 10.1063/1.2401692; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUNDARY CONDITIONS; FIELD EQUATIONS; GAUGE INVARIANCE; GREEN FUNCTION; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL SOLUTIONS; METRICS; POINT SOURCES; QUANTUM FIELD THEORY; SPACE-TIME; WAVE EQUATIONS; WAVE PROPAGATION

### Citation Formats

```
Aharonovich, I., Horwitz, L. P., and Department of Physics, Bar-Ilan University, Ramat Gan, Israel, School of Physics, Tel-Aviv University, Ramat Aviv, Israel, and College of Judea and Samaria, Ariel.
```*Green functions for wave propagation on a five-dimensional manifold and the associated gauge fields generated by a uniformly moving point source*. United States: N. p., 2006.
Web. doi:10.1063/1.2401692.

```
Aharonovich, I., Horwitz, L. P., & Department of Physics, Bar-Ilan University, Ramat Gan, Israel, School of Physics, Tel-Aviv University, Ramat Aviv, Israel, and College of Judea and Samaria, Ariel.
```*Green functions for wave propagation on a five-dimensional manifold and the associated gauge fields generated by a uniformly moving point source*. United States. doi:10.1063/1.2401692.

```
Aharonovich, I., Horwitz, L. P., and Department of Physics, Bar-Ilan University, Ramat Gan, Israel, School of Physics, Tel-Aviv University, Ramat Aviv, Israel, and College of Judea and Samaria, Ariel. Fri .
"Green functions for wave propagation on a five-dimensional manifold and the associated gauge fields generated by a uniformly moving point source". United States.
doi:10.1063/1.2401692.
```

```
@article{osti_20861560,
```

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

author = {Aharonovich, I. and Horwitz, L. P. and Department of Physics, Bar-Ilan University, Ramat Gan, Israel, School of Physics, Tel-Aviv University, Ramat Aviv, Israel, and College of Judea and Samaria, Ariel},

abstractNote = {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.},

doi = {10.1063/1.2401692},

journal = {Journal of Mathematical Physics},

number = 12,

volume = 47,

place = {United States},

year = {Fri Dec 15 00:00:00 EST 2006},

month = {Fri Dec 15 00:00:00 EST 2006}

}

DOI: 10.1063/1.2401692

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