Electric flux tube solutions in SU(3) gauge theory

Abstract

We consider electric flux tube solutions in SU(3) gauge theory with scalar fields in the fundamental representation. Such solutions can possibly be constructed in two classes, corresponding to the two maximally commuting generators ${\lambda }_3$ and ${\lambda }_8$ of SU(3). We successfully construct the 3-type solution with two scalar fields and show that it is immune to decay through Schwinger pair production of gauge bosons but we have not been able to construct an 8-type solution.

arXiv comment9 pages, 2 figures

References in corpus (8)

• Soft-Gluon Production Due to a Gluon Loop in a Constant Chromo-Electric Background Field
• Useful relations among the generators in the defining and adjoint representations of SU(N)
• 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
• Perturbative stability of non-Abelian electric field solutions