Brane world generation by matter and gravity

Abstract

We present a non-compact (4 + 1) dimensional model with a local strong four-fermion interaction supplementing it with gravity. In the strong coupling regime it reveals the spontaneous translational symmetry breaking which eventually leads to the formation of domain walls, or thick 3-branes, embedded in the AdS-5 manifold. To describe this phenomenon we construct the appropriate low-energy effective Action and find kink-like vacuum solutions in the quasi-flat Riemannian metric. We discuss the generation of ultra-low-energy (3 + 1) dimensional physics and we establish the relation among the bulk five dimensional gravitational constant, the brane Newton's constants and the curvature of AdS-5 space-time. The plausible relation between the compositeness scale of the scalar matter and the symmetry breaking scale is shown to support the essential decoupling of branons, the scalar fluctuations of the brane, from the Standard Model matter, supporting their possible role in the dark matter saturation. The induced cosmological constant on the brane does vanish due to exact cancellation of matter and gravity contributions.

35 pages, JHEP3 style, refs.added

References in corpus (4)

• Scalar kinks and fermion localisation in warped spacetimes
• Energy scales in a stabilized brane world
• Decay in a uniform field: an exactly solvable model
• Gauged Nambu-Jona-Lasinio model with extra dimensions

Cited by in corpus (11)

• Cosmology and Fermion Confinement in a Scalar-Field-Generated Domain Wall Brane in Five Dimensions
• Branon radiative corrections to collider physics and precision observables
• Effects of the variation of mass on fermion localization and resonances on thick branes
• Braneworld in $f(T)$ Gravity Theory with Noncanonical Scalar Matter Field
• On the stability of thick brane worlds non-minimally coupled to gravity
• On unremovable divergencies in four-dimensional electrodynamics localized on a domain wall
• Thick brane in Rastall gravity
• Localization of scalar fields on self-gravitating thick branes
• Gravity and Matters on a pure geometric thick polynomial $f(R)$ brane
• CP violation in the models of fermion localization on a domain wall (brane)
• More on divergences in brane world models