Fermions, scalars and Randall-Sundrum gravity on domain-wall branes

We analyse the general features of localisation of fermions and scalars in smoothed field-theoretical versions of the type 2 Randall- Sundrum braneworld model. A scalar field domain-wall forms the brane, inducing warped gravity, and we study the mass spectra of the matter fields in the dimensionally...

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Main Authors: Davies, R, George, D
Format: Journal article
Published: 2007
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author Davies, R
George, D
author_facet Davies, R
George, D
author_sort Davies, R
collection OXFORD
description We analyse the general features of localisation of fermions and scalars in smoothed field-theoretical versions of the type 2 Randall- Sundrum braneworld model. A scalar field domain-wall forms the brane, inducing warped gravity, and we study the mass spectra of the matter fields in the dimensionally reduced theory. We demonstrate explicitly that both scalar and fermion fields exhibit a continuum of properly normalisable modes starting at zero mass. If discrete bound modes are present in the gravity-free case, these become resonances in the continuum, while off-resonant modes are highly suppressed on the brane. We describe briefly how another scalar field can be used to break a symmetry on the domain-wall while leaving it unbroken far from the wall, as has already been done in the flat space case. Finally we present numerical calculations for a toy model which demonstrates the decoupling of continuum modes at low energies, so the theory becomes four dimensional.
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spelling oxford-uuid:581ff90d-5acb-41ec-b809-dbef56185a3c2022-03-26T17:01:08ZFermions, scalars and Randall-Sundrum gravity on domain-wall branesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:581ff90d-5acb-41ec-b809-dbef56185a3cSymplectic Elements at Oxford2007Davies, RGeorge, DWe analyse the general features of localisation of fermions and scalars in smoothed field-theoretical versions of the type 2 Randall- Sundrum braneworld model. A scalar field domain-wall forms the brane, inducing warped gravity, and we study the mass spectra of the matter fields in the dimensionally reduced theory. We demonstrate explicitly that both scalar and fermion fields exhibit a continuum of properly normalisable modes starting at zero mass. If discrete bound modes are present in the gravity-free case, these become resonances in the continuum, while off-resonant modes are highly suppressed on the brane. We describe briefly how another scalar field can be used to break a symmetry on the domain-wall while leaving it unbroken far from the wall, as has already been done in the flat space case. Finally we present numerical calculations for a toy model which demonstrates the decoupling of continuum modes at low energies, so the theory becomes four dimensional.
spellingShingle Davies, R
George, D
Fermions, scalars and Randall-Sundrum gravity on domain-wall branes
title Fermions, scalars and Randall-Sundrum gravity on domain-wall branes
title_full Fermions, scalars and Randall-Sundrum gravity on domain-wall branes
title_fullStr Fermions, scalars and Randall-Sundrum gravity on domain-wall branes
title_full_unstemmed Fermions, scalars and Randall-Sundrum gravity on domain-wall branes
title_short Fermions, scalars and Randall-Sundrum gravity on domain-wall branes
title_sort fermions scalars and randall sundrum gravity on domain wall branes
work_keys_str_mv AT daviesr fermionsscalarsandrandallsundrumgravityondomainwallbranes
AT georged fermionsscalarsandrandallsundrumgravityondomainwallbranes