Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-12-21
Phys.Rev.D75:105007,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
25 pages, REVTeX4 preprint; v2: added appendix B and made minor other changes to thoroughly explain the kink zero mode dynamic
Scientific paper
10.1103/PhysRevD.75.105007
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.
George Damien P.
Volkas Raymond R.
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