Perturbative stability of non-Abelian electric field solutions

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.

arXiv comment13 pages, 4 figures. v2: Moved equations to Appendix. Added summary of results. Added further references. PRD published version

References in corpus (5)

• Instability of a uniform electric field in pure non-Abelian Yang-Mills theory
• Unexciting non-Abelian electric fields
• Stability analysis of non-Abelian electric fields
• Electric strings in non-Abelian theories
• Construction of non-Abelian electric strings

Cited by in corpus (2)

• Non-Affine Extensions of the Raychaudhuri Equation in the K-essence Framework
• Electric flux tube solutions in SU(3) gauge theory