Vector fields localization on brane worlds

R. Guerrero, R. Omar Rodríguez, F. Carreras

Abstract


To confine vector bosons in the four dimensional sector of a domain wall spacetime, we propose a mechanism in which the interaction among vectors is propagated via the self-interaction of the scalar wall.  In the process, the vector acquires an asymptotic mass, defined by the bulk cosmological constant, and it ends up coupled to the wall by the tension of the brane. The mechanism is applied on the Randall Sundrum scenario and regular versions of it, and on singular domain walls. In any case, the  electrostatic potential between two charged particles is defined by both the vector state attached to the wall and a continuous tower of massive vector states that propagate freely along the scenario's extra dimension.

Keywords


Brane worlds, Domain walls, vector fields localization

Full Text:

PDF

References


B. Bajc and G. Gabadadze, Localization of matter and cosmological constant on a brane in antide Sitter space, Phys. Lett. B 474 (2000) 282. https://doi.org/10.1016/S0370-2693(00)00055-1

K. Ghoroku and A. Nakamura, Massive vector trapping as a gauge boson on a brane, Phys. Rev. D 65 (2002) 084017. https://doi.org/10.1103/PhysRevD.65.084017

L. Randall and R. Sundrum, An Alternative to compactification, Phys. Rev. Lett. 83 (1999) 4690. https://doi.org/10.1103/PhysRevLett.83.4690

A. Kehagias and K. Tamvakis, Localized gravitons, gauge bosons and chiral fermions in smooth spaces generated by a bounce, Phys. Lett. B 504 (2001) 38. https://doi.org/10.1016/S0370-2693(01)00274-X

G. R. Dvali and M. A. Shifman, Domain walls in strongly coupled theories, Phys. Lett. B 396 (1997) 64. [Erratumibid. B 407 (1997) 452]. https://doi.org/10.1007/s10773-010-0640-7

G. R. Dvali, G. Gabadadze and M. A. Shifman, (Quasi)localized gauge field on a brane: Dissipating cosmic radiation to extra dimensions?, Phys. Lett. B 497 (2001) 271. https://doi.org/10.1016/S0370-2693(00)01329-0

R. Guerrero, A. Melfo, N. Pantoja and R. O. Rodriguez, Gauge field localization on brane worlds, Phys. Rev. D 81 (2010) 086004. https://doi.org/10.1103/PhysRevD.81.086004

C. A. Vaquera-Araujo and O. Corradini, Localization of abelian gauge fields on thick branes, Eur. Phys. J. C 75 (2015) 48. doi:10.1140/epjc/s10052-014-3251-2 [arXiv:1406.2892 [hep-th]].

Z. H. Zhao, Q. Y. Xie and Y. Zhong, New localization method of U(1) gauge vector field on flat branes in (asymptotic) AdS5 spacetime, Class. Quant. Grav. 32 (2015) 035020. doi:10.1088/0264-9381/32/3/035020 [arXiv:1406.3098 [hep-th]].

L. F. Freitas, G. Alencar and R. R. Landim, Universal Aspects of U(1) Gauge Field Localization on Branes in D-dimensions, JHEP 02 (2019) 035. doi:10.1007/JHEP02(2019)035 [arXiv:1809.07197 [hep-th]].

M. Gremm, Thick domain walls and singular spaces, Phys. Rev. D 62 (2000) 044017. https://doi.org/10.1103/PhysRevD.62.044017

C. V. Sukumar, Supersymmetric quantum mechanics and the inverse scattering method, J. Phys. A 18 (1985) 2937. doi:10.1088/0305-4470/18/15/021

N. Arkani-Hamed and M. Schmaltz, Hierarchies without symmetries from extra dimensions, Phys. Rev. D 61 (2000) 033005. doi:10.1103/PhysRevD.61.033005 [arXiv:hepph/9903417 [hep-ph]]. https://doi.org/10.1103/PhysRevD.70.104009

P. Callin and F. Ravndal, Higher order corrections to the Newtonian potential in the Randall-Sundrum model, Phys. Rev. D 70 (2004) 104009. https://doi.org/10.1103/PhysRevD.70.104009

A. Melfo, N. Pantoja and F. Ramirez, Breaking the ´ Z2 symmetry of the Randall-Sundrum scenario and the fate of the massive modes, arXiv:1011.2524 [hep-th].

M. Gremm, Four-dimensional gravity on a thick domain wall, Phys. Lett. B 478 (2000) 434. https://doi.org/10.1016/S0370-2693(00)00303-8

O. DeWolfe, D. Z. Freedman, S. S. Gubser and A. Karch, Modeling the fifth-dimension with scalars and gravity, Phys. Rev. D 62 (2000) 046008. https://doi.org/10.1103/PhysRevD.62.046008

D. Bazeia, C. Furtado and A. R. Gomes, Brane structure from scalar field in warped space-time, JCAP 0402 (2004) 002. https://doi.org/10.1088/1475-7516/2004/02/002

A. Melfo, N. Pantoja and A. Skirzewski, Thick domain wall space-times with and without reflection symmetry, Phys. Rev. D 67 (2003) 105003. https://doi.org/10.1103/PhysRevD.67.105003

O. Castillo-Felisola, A. Melfo, N. Pantoja and A. Ramirez, Localizing gravity on exotic thick three-branes, Phys. Rev. D 70 (2004) 104029. https://doi.org/10.1103/PhysRevD.70.104029

R. Guerrero, R. O. Rodriguez and R. S. Torrealba, De-Sitter and double asymmetric brane worlds, Phys. Rev. D 72 (2005) 124012. https://doi.org/10.1103/PhysRevD.72.124012

C. Csaki, J. Erlich, T. J. Hollowood and Y. Shirman, Universal aspects of gravity localized on thick branes, Nucl. Phys. B 581 (2000) 309. https://doi.org/10.1016/S0550-3213(00)00271-6

G. Poschl and E. Teller, Bemerkungen zur Quantenmechanik des anharmonischen Oszillators, Z. Phys. 83 (1933) 143. doi:10.1007/BF01331132




DOI: https://doi.org/10.31349/RevMexFis.67.415

Refbacks

  • There are currently no refbacks.


REVISTA MEXICANA DE FÍSICA, year 67, issue 3, May-June 2021. Bimonthly Journal published by Sociedad Mexicana de Física, A. C. Departamento de Física, 2º Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510 , Ciudad de México. Apartado Postal 70-348. Tel. (+52)55-5622-4946, https://rmf.smf.mx/ojs/rmf, e-mail: rmf@ciencias.unam.mx. Chief Editor: José Alejandro Ayala Mercado. INDAUTOR Certificate of Reserve: 04-2019-080216404400-203, ISSN: 2683-2224 (on line), 0035-001X (print), both granted by Instituto Nacional del Derecho de Autor. Responsible for the last update of this issue, Technical Staff of Sociedad Mexicana de Física, A. C., Fís. Efraín Garrido Román, 2º. Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510 , Ciudad de México. Date of last modification, May 1st., 2021.

The responsibility of the materials published in Revista Mexicana de Física rests solely with their authors and their content does not necessarily reflect the criteria of the Editorial Committee or the Sociedad Mexicana de Física. The total or partial reproduction of the texts hereby published is authorized as long as the complete source and the electronic address of the publications are cited.

There is no fee for article processing, submission or publication.

Revista Mexicana de Física by Sociedad Mexicana de Física, A. C. is distributed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License