The fate of the zero mode of the five-dimensional kink in the presence of gravity

Shaposhnikov, Mikhail; Tinyakov, Petr; Zuleta, Katarzyna

doi:10.1088/1126-6708/2005/09/062

Cited by 15 publications

(26 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Appendix B discusses this result in more depth and includes an identification of the mode responsible for finite translations. Also see [11] for a discussion of the translational zero mode in the presence of gravity.…”

Section: B Limiting Behaviour Of the Effective Modelmentioning

confidence: 99%

Kink modes and effective four dimensional fermion and Higgs brane models

George

Volkas

2007

Phys. Rev. D

View full text Add to dashboard Cite

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 Pöschl-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.

show abstract

Section: B Limiting Behaviour Of the Effective Modelmentioning

confidence: 99%

Kink modes and effective four dimensional fermion and Higgs brane models

George

Volkas

2007

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…It is interesting to note that the occurrence of a massive resonance is described in [15] as the remnant of the Nambu-Goldstone boson associated with the sole broken translation symmetry in a specific model with a gravitating domain wall embedded in D 5 dimensions. The presence of the massive vector fields A in the invariant low energy effective action constructed here reflects the necessary occurrence of a pair of similar massive resonances in any gravitating vortex model embedded in D 6 dimensions.…”

Section: Discussionmentioning

confidence: 99%

Gravitatingp-branes

et al. 2007

View full text Add to dashboard Cite

Coset methods are used to construct the action describing the dynamics associated with the spontaneous breaking of the local Poincaré symmetries of D dimensional space-time due to the embedding of a p-brane with codimension N D ÿ p ÿ 1. The resulting action is an ISO1; p N invariant form of the Einstein-Hilbert action, which, in addition to the gravitational vielbein, also includes N massive gauge fields corresponding to the broken space translation symmetries which together carry the fundamental representation of the unbroken SON gauge symmetry and an SON Yang-Mills field localized on the brane. The long wavelength dynamics of the gravitating p-brane is the same as the action of an SON vector massive Proca field and a non-Abelian SON Yang-Mills field all coupled to gravity in d 1 p dimensional space-time. The general results are specialized to determine the effective action for the gravitating vortex solution in the D 6 Abelian Higgs-Kibble model.

show abstract

“…The 4D-dependent coefficients Q m ðxÞ play the role of the physical 4D fields and satisfy the dispersion relation ð@ @ þ m 2 ÞQ m ¼ 0. One can thus write a free Lagrangian formally equivalent to (7). The crucial difference between these two theories is the spectrum of physical states.…”

Section: The Linearized Scalar Sector With Gravitymentioning

confidence: 99%

“…with g ða;bÞ m ¼ m , F m , S m (see [7] for an explicit expression of this matrix in the light-cone gauge). Under the simplifying assumption of an exponentially localized defect, the mixing between the scalar states becomes a pure brane effect, and the Green's function G is completely determined by the eigenmode p and its boundary conditions.…”

Section: Scalar Bound Statesmentioning

confidence: 99%

Massive states as the relevant deformations of gravitating branes

Vecchi

2008

Phys. Rev. D

View full text Add to dashboard Cite

Five-dimensional theories manifesting spontaneous brane generation are discussed in a gravitational context. Without gravity, the IR dynamics of the brane fluctuation below the brane tension scale is described by an effective theory for the Nambu-Goldstone modes. When gravity is properly taken into account the long distance dynamics changes. The spontaneous breaking of local translational invariance triggers the formation of massive representations via the Higgs mechanism and induces the appearance of new mass scales in the IR. These scales can in principle depend on other fundamental parameters besides the brane tension and the Planck scale. In noncompact extra dimensions the massive states are found to be scalar bound states. We obtain explicit expressions for their propagator and show that their masses depend on the brane width and are thus much heavier than expected. We present an exactly solvable model which captures the main features of the gravitational system.Comment: Version published in Phys. Rev.

show abstract

The fate of the zero mode of the five-dimensional kink in the presence of gravity

Cited by 15 publications

References 32 publications

Kink modes and effective four dimensional fermion and Higgs brane models

Kink modes and effective four dimensional fermion and Higgs brane models

Gravitatingp-branes

Massive states as the relevant deformations of gravitating branes

Contact Info

Product

Resources

About