Volume 125, Number 3, February 2019
|Number of page(s)||5|
|Section||The Physics of Elementary Particles and Fields|
|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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