Perturbative stability of non-Abelian electric field solutions

Jude Pereira; Tanmay Vachaspati

Perturbative stability of non-Abelian electric field solutions

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arxiv 2412.05458 v2 pith:AZNWSKXJ submitted 2024-12-06 hep-th hep-ph

Jude Pereira , Tanmay Vachaspati This is my paper

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keywords fieldelectricscalarsolutionbranchesidentifyperturbativesolutions

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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.

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