Localization of U (1) gauge field by non-minimal coupling with gravity

: The localization of U (1) gauge field in Randall-Sundrum-like braneworld models is investigated. In order to realize the localization, we propose a new method by introducing the non-minimal coupling between the gauge field and the gravity, at the same time this method hold the U (1) gauge symmetry. We present the zero mass mode is localized. There is no gap between zero mode and the massive modes. The massive modes are tachyonic, they can’t be localized, and their spectrum is continuous. Our analysis is generally valid for thin and thick branewolds.

[1]  Chun-E. Fu,et al.  Gauge invariance and localization of vector Kaluza–Klein modes , 2022, The European Physical Journal C.

[2]  Wen-Di Guo,et al.  Generalized geometrical coupling for vector field localization on thick brane in asymptotic anti–de Sitter spacetime , 2020, Physical Review D.

[3]  R. I. D. O. Junior,et al.  Localization of a Model with U(1) Kinetic Gauge Mixing , 2019, Modern Physics Letters A.

[4]  K. Peeters Cadabra2: computer algebra for field theory revisited , 2018, J. Open Source Softw..

[5]  G. Alencar,et al.  Universal aspects of U(1) gauge field localization on branes in D-dimensions , 2018, Journal of High Energy Physics.

[6]  Talal Ahmed Chowdhury,et al.  Gravitational properties of the Proca field , 2018, Nuclear Physics B.

[7]  T. Peters Gravitation , 2018, PHYSIK.

[8]  Q. Xie,et al.  Localization of U(1) gauge vector field on flat branes with five-dimension (asymptotic) AdS5 spacetime , 2017, 1712.09843.

[9]  Yu-Xiao Liu Introduction to Extra Dimensions and Thick Braneworlds , 2017, 1707.08541.

[10]  Li Zhao,et al.  Localization of Vector Field on Pure Geometrical Thick Brane , 2017, 1703.05653.

[11]  Yu-Xiao Liu,et al.  Pure geometric thick f(R)-branes: stability and localization of gravity , 2015, 1507.00630.

[12]  G. Alencar,et al.  Nonminimal couplings in Randall-Sundrum scenarios , 2015, 1502.02998.

[13]  R. N. C. Filho,et al.  Gauge Field Localization on the Brane Through Geometrical Coupling , 2014, 1409.4396.

[14]  Y. Zhong,et al.  New localization method of U(1) gauge vector field on flat branes in (asymptotic) AdS5 spacetime , 2014, 1406.3098.

[15]  C. A. Vaquera-Araujo,et al.  Localization of abelian gauge fields on thick branes , 2014, 1406.2892.

[16]  A. Herrera-Aguilar,et al.  Localization of gauge fields in a tachyonic de Sitter thick braneworld , 2014, 1401.0999.

[17]  C. Germani Spontaneous localization on a brane via a gravitational mechanism , 2011, 1109.3718.

[18]  M. Hott,et al.  Model to localize gauge and tensor fields on thick branes , 2011, 1108.3821.

[19]  M. Gogberashvili,et al.  Localization of gauge bosons in the 5D standing wave braneworld , 2011, 1105.1866.

[20]  Yu-Xiao Liu,et al.  Localization of bulk matter fields, the hierarchy problem and corrections to Coulomb’s law on a pure de Sitter thick braneworld , 2011, 1103.2430.

[21]  M. Gogberashvili,et al.  Anti-de-Sitter Island-Universes from 5D Standing Waves , 2009, 0904.2828.

[22]  Y. Duan,et al.  Localization and mass spectrum of matters on Weyl thick branes , 2008, 0803.0098.

[23]  V. Mukhanov,et al.  Vector inflation , 2008, 0802.2068.

[24]  Kasper Peeters,et al.  Introducing Cadabra: a symbolic computer algebra system for field theory problems , 2007, hep-th/0701238.

[25]  Kasper Peeters,et al.  Cadabra: a field-theory motivated symbolic computer algebra system , 2006, Comput. Phys. Commun..

[26]  K. Tamvakis,et al.  Brane models with a Ricci-coupled scalar field , 2006, hep-th/0604182.

[27]  A. Melfo,et al.  Fermion localization on thick branes , 2006, hep-th/0601161.

[28]  R. Koley,et al.  Scalar kinks and fermion localization in warped spacetimes , 2004, hep-th/0407158.

[29]  C. Furtado,et al.  Brane structure from a scalar field in warped spacetime , 2003, hep-th/0308034.

[30]  J. Uzan,et al.  Localization of massive fermions on the brane. , 2001, hep-th/0109194.

[31]  K. Ghoroku,et al.  Massive vector trapping as a gauge boson on a brane , 2001, hep-th/0106145.

[32]  A. Kehagias,et al.  LOCALIZED GRAVITONS, GAUGE BOSONS AND CHIRAL FERMIONS IN SMOOTH SPACES GENERATED BY A BOUNCE , 2000, hep-th/0010112.

[33]  M. Shifman,et al.  (Quasi)localized gauge field on a brane: Dissipating cosmic radiation to extra dimensions? , 2000, hep-th/0010071.

[34]  M. Shaposhnikov,et al.  Fermion zero-modes on brane-worlds , 2000, hep-th/0008079.

[35]  B. Bajc,et al.  Localization of matter and cosmological constant on a brane in anti de Sitter space , 1999, hep-th/9912232.

[36]  M. Gremm Four-dimensional gravity on a thick domain wall , 1999, hep-th/9912060.

[37]  A. Pomarol Gauge bosons in a five-dimensional theory with localized gravity , 1999, hep-ph/9911294.

[38]  L. Randall,et al.  An Alternative to compactification , 1999, hep-th/9906064.

[39]  L. Randall,et al.  A Large mass hierarchy from a small extra dimension , 1999, hep-ph/9905221.

[40]  F. Müller-Hoissen Non-minimal coupling from dimensional reduction of the Gauss-Bonnet action , 1988 .

[41]  C. Sukumar Supersymmetric quantum mechanics of one-dimensional systems , 1985 .

[42]  Mikhail Shaposhnikov,et al.  Do we live inside a domain wall , 1983 .

[43]  H. Buchdahl On a Lagrangian for non-minimally coupled gravitational and electromagnetic fields , 1979 .

[44]  A. Prasanna A new invariant for electromagnetic fields in curved space-time , 1971 .

[45]  Y. Duan,et al.  Preprint typeset in JHEP style- HYPER VERSION Bulk Matters on Symmetric and Asymmetric de Sitter Thick Branes , 2022 .

[46]  Preprint typeset in JHEP style- HYPER VERSION Fermions on Thick Branes in the Background of , 2022 .