Abstract
We consider pure SU(2) Yang-Mills theory on four-dimensional de Sitter space and construct a smooth and spatially homogeneous magnetic solution to the Yang-Mills equations. Slicing as , via an SU(2)-equivariant ansatz, we reduce the Yang-Mills equations to ordinary matrix differential equations and further to Newtonian dynamics in a double-well potential. Its local maximum yields a Yang-Mills solution whose color-magnetic field at time is given by , where for , 2, 3 are the SU(2) generators and is the de Sitter radius. At any moment, this spatially homogeneous configuration has finite energy, but its action is also finite and of the value in a spin- representation. Similarly, the double-well bounce produces a family of homogeneous finite-action electric-magnetic solutions with the same energy. There is a continuum of other solutions whose energy and action extend down to zero.
- Received 4 May 2017
DOI:https://doi.org/10.1103/PhysRevLett.119.061601
© 2017 American Physical Society