Perturbative stability of non-Abelian electric field solutions
High Energy Physics - Theory
2025-04-01 v2 High Energy Physics - Phenomenology
Abstract
We consider SU(2) gauge theory with a scalar field in the fundamental representation. The model is known to contain electric field solutions sourced by the scalar field that are distinct from embedded Maxwell electric fields. We examine the perturbative stability of the solution and identify a region of parameter space where the solution is stable. In the regime where the scalar field has a negative mass squared, the solution has two branches and we identify an instability in one of the branches.
Keywords
Cite
@article{arxiv.2412.05458,
title = {Perturbative stability of non-Abelian electric field solutions},
author = {Jude Pereira and Tanmay Vachaspati},
journal= {arXiv preprint arXiv:2412.05458},
year = {2025}
}
Comments
13 pages, 4 figures. v2: Moved equations to Appendix. Added summary of results. Added further references. PRD published version