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 ${\xi }_0$.

15 page, 12 figures

References in corpus (2)

• Asymptotically flat scalar, Dirac and Proca stars: discrete vs. continuous families of solutions
• Generalized SU(2) Proca Theory

Cited by in corpus (2)

• Dirac star with SU(2) Yang-Mills and Proca fields
• Spinors in cylindrically symmetric space-time