Non-Abelian Proca-Dirac-Higgs theory: particle-like solutions and their energy spectrum

Abstract

We study a system consisting of a non-Abelian SU(2) Proca field interacting with nonlinear scalar (Higgs) and spinor fields. For such a system, it is shown that particle-like solutions with finite energy do exist. It is demonstrated that the solutions depend on three free parameters of the system, including the central value of the scalar field ${\xi }_0$. For some fixed values of ${\xi }_0$, we find energy spectra of the solutions. It is shown that for each of the cases under consideration there is a minimum value of the energy $\Delta =\Delta ({\xi }_0)$ (the mass gap $\Delta ({\xi }_0)$ for a fixed value of ${\xi }_0$). The behavior of the function $\Delta ({\xi }_0)$ is studied for some range of ${\xi }_0$.

arXiv comment15 page, 12 figures

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Cited by in corpus (10)

• Spinor fields in spherical symmetry. Einstein-Dirac and other space-times
• Dirac star with SU(2) Yang-Mills and Proca fields
• Axially symmetric Proca-Higgs boson stars
• Einstein-Dirac system in semiclassical gravity
• Scalaroca stars: coupled scalar-Proca solitons
• Proca balls with angular momentum or flux of electric field
• Mass gap for a monopole interacting with a nonlinear spinor field
• Proca tubes with the flux of the longitudinal chromoelectric field and the energy flux/momentum density
• Spinors in cylindrically symmetric space-time
• Thermodynamics and statistical physics of quasiparticles within the quark-gluon plasma model