Abstract
A static sourceless gauge field, coupled only to itself, is exhibited for the group . Its field strength is as . It is also a static sourceless gauge field for SO(3, 1), the orthochronous Lorentz group without inversion. A conjecture is made that such solution does not exist for compact groups.
- Received 23 January 1976
DOI:https://doi.org/10.1103/PhysRevD.13.3233
©1976 American Physical Society