Q-balls constructed of spinors in Lagrangians with SU(2) symmetry

Details Q-balls constructed of spinors in Lagrangians with SU(2) symmetry Q-balls constructed of spinors in Lagrangians with SU(2) symmetry

2005-08-26

arxiv.org/abs/hep-th/0508197v1

Int.J.Mod.Phys. A20 (2005) 6495-6508

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, to appear in Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X0502882X

In the present work we investigate the existence and stability properties of q-balls which consist of a couple of scalar fields, forming an SU(2) doublet in a Lagrangian with a global SU(2) symmetry. We find that these spinors can form a localized and stable field configuration, if they rotate in their internal SU(2) space. We find the energy and charge of the soliton in both thin and thick-wall approximation and we prove its stability against decaying to free particles. We also find the asymptotic forms of the scalar and gauge field and the energy and charge of the configuration when the SU(2) symmetry is local. The only assumption is the smallness of the coupling constant $g$. Using numerical methods we prove the stability of the q-ball in the local case.

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