Issue |
EPL
Volume 125, Number 3, February 2019
|
|
---|---|---|
Article Number | 31001 | |
Number of page(s) | 5 | |
Section | The Physics of Elementary Particles and Fields | |
DOI | https://doi.org/10.1209/0295-5075/125/31001 | |
Published online | 07 March 2019 |
The breaking of the SO(p, q) symmetry group to SO(p, q − n) × O(n) subjected to boundary conditions and its physical consequences for a gauge field theory
Electrical Engineering Department, Federal University of Parana (UFPR) - Curitiba, Brazil
Received: 14 October 2018
Accepted: 8 February 2019
The consequences of imposing boundary conditions to extra spacetime coordinates on a gauge field theory are considered. In a toy model, a larger spacetime symmetry described by a Lorentz-Poincaré SO(p, q) group is broken to a symmetry group of the form due to boundary conditions in the extra dimensions, leading to an effectively massive gauge field coupled to a “scalar” field in the observable spacetime coordinates.
PACS: 11.15.-q – Gauge field theories / 11.30.Ly – Other internal and higher symmetries / 11.30.Cp – Lorentz and Poincaré invariance
© EPLA, 2019
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