Plane-Symmetric Gauge Field
- 1 October 1969
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 10 (10) , 1885-1888
- https://doi.org/10.1063/1.1664775
Abstract
Plane‐symmetric solutions to the gauge field equations are considered on the classical level. The conditions of plane symmetry are gauge‐invariantly defined in terms of the internal holonomy group. It is shown that, if analytic gauge fields satisfy the plane‐symmetry conditions and if there exists at least one source‐free region in event space, then the internal holonomy group is Abelian and a gauge exists in which the gauge field satisfies Maxwell's equations.Keywords
This publication has 9 references indexed in Scilit:
- Free ghost gauge fieldsIl Nuovo Cimento A (1971-1996), 1967
- Internal Holonomy Groups of Yang-Mills FieldsJournal of Mathematical Physics, 1967
- Gauge Field of a Point ChargeJournal of Mathematical Physics, 1967
- A short-range gauge fieldIl Nuovo Cimento A (1971-1996), 1967
- The range of gauge fieldsNuclear Physics, 1965
- Quantization of the Yang-Mills FieldPhysical Review B, 1962
- On the Static and Spherically Symmetric Solutions of the Yang-Mills FieldProgress of Theoretical Physics, 1962
- Non-Abelian Gauge Fields. Commutation RelationsPhysical Review B, 1962
- Conservation of Isotopic Spin and Isotopic Gauge InvariancePhysical Review B, 1954