Kink modes and effective four dimensional fermion and Higgs brane models

Abstract

In the construction of a classical smoothed out brane world model in five dimensions, one uses a dynamically generated domain wall (a kink) to localise an effective four dimensional theory. At the level of the Euler-Lagrange equations the kink sets up a potential well, a mechanism which has been employed extensively to obtain localised, four dimensional, massless chiral fermions. We present the generalisation of this kink trapping mechanism for both scalar and fermionic fields, and retain all degrees of freedom that were present in the higher dimensional theory. We show that a kink background induces a symmetric modified Poschl-Teller potential well, and give explicit analytic forms for all the bound modes and a restricted set of the continuum modes. We demonstrate that it is possible to confine an effective four dimensional scalar field with a quartic potential of arbitrary shape. This can be used to place the standard model electroweak Higgs field on the brane, and also generate nested kink solutions. We also consider the limits of the parameters in the theory which give thin kinks and localised and de-localised scalar and fermionic fields.

25 pages, REVTeX4 preprint; v2: added appendix B and made minor other changes to thoroughly explain the kink zero mode dynamics

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• Effects of the variation of mass on fermion localization and resonances on thick branes
• Fermions, scalars and Randall-Sundrum gravity on domain-wall branes
• Equivalence between domain-walls and "noncommutative" two-sheeted spacetimes: Model-independent matter swapping between branes
• Localization of fermionic fields on braneworlds with bulk tachyon matter
• Fermions on one or fewer Kinks
• Resonances of Kalb-Ramond field on symmetric and asymmetric thick branes
• Extra-dimensional cosmology with domain-wall branes
• Nucleon Decay and $n$-$\bar{n}$ Oscillations in a Left-Right Symmetric Model with Large Extra Dimensions
• Effects of temperature on thick branes and the fermion (quasi-)localization
• Deformed brane with finite extra dimension
• Soliton models for thick branes
• Effective action of a five-dimensional domain wall
• Neutrino Masses and Mixing in Models with Large Extra Dimensions and Localized Fermions
• Fermion masses and mixing in a 4+1-dimensional SU(5) domain-wall brane model
• Gravity and Matters on a pure geometric thick polynomial $f(R)$ brane
• Modified spontaneous symmetry breaking pattern by brane-bulk interaction terms
• A Clash-of-Symmetries Mechanism from Intersecting Domain-Wall Branes
• Dynamics of the infinitely-thin kink
• Thick branes via higher order field theory models with exponential and power-law tails
• On the origin of matter-antimatter asymmetry in the Universe
• Solutions for Intersecting Domain Walls with Internal Structure in Six Dimensions from a Z_2 x Z_2-invariant Action
• Unified Dark Matter from a Simple Gauge Group on a Domain-Wall Brane
• Relaxing the $W^{\prime }$ constraint on compactified extra-dimension