Trapping of Spin-0 fields on tube-like topological defects

Abstract

We have considered the localization of resonant bosonic states described by a scalar field $\Phi$ trapped in tube-like topological defects. The tubes are formed by radial symmetric defects in $(2,1)$ dimensions, constructed with two scalar fields $\varphi$ and $\chi$, and embedded in the $(3,1)-$dimensional Minkowski spacetime. The general coupling between the topological defect and the scalar field $\Phi$ is given by the potential $\eta F(\varphi ,\chi ){\Phi }^2$. After a convenient decomposition of the field $\Phi$, we find that the amplitudes of the radial modes satisfy Schrödinger-like equations whose eigenvalues are the masses of the bosonic resonances. Specifically, we have analyzed two simple couplings: the first one is $F(\varphi ,\chi )={\chi }^2$ for a fourth-order potential and, the second one is a sixth-order interaction characterized by $F(\varphi ,\chi )=(\varphi \chi {)}^2$% . In both cases the Schrödinger-like equations are numerically solved with appropriated boundary conditions. Several resonance peaks for both models are obtained and the numerical analysis showed that the fourth-order potential generates more resonances than the sixth-order one.

7 pages, 10 figures, matches version published in Physics Letters B

References in corpus (19)

• Color superconductivity in dense quark matter
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• Stationary ring solitons in field theory - knots and vortons
• Fermion localization and resonances on two-field thick branes
• Fermion Localization and Resonances on A de Sitter Thick Brane
• Magnetic component of Yang-Mills plasma
• Fermion Resonances on Multi-field Thick Branes
• Localization of bulk matter fields, the hierarchy problem and corrections to Coulomb's law on a pure de Sitter thick braneworld
• Thick branes with a nonminimally coupled bulk-scalar field
• Topological superfluid ${}^3$He-B: fermion zero modes on interfaces and in the vortex core
• Detecting and distinguishing topological defects in future data from the CMBPol satellite
• The Universe as a topological defect
• Domain wall network evolution in (N+1)-dimensional FRW universes
• Production of Topological Defects at the End of Inflation
• Group Theory of Non-Abelian Vortices
• Manifestations of magnetic vortices in equation of state of Yang-Mills plasma
• Sphalerons, Antisphalerons and Vortex Rings
• Z${}_2$ index theorem for Majorana zero modes in a class D topological superconductor