Vector fields localization on brane worlds

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


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.


Brane worlds, Domain walls, vector fields localization

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B. Bajc and G. Gabadadze, Localization of matter and cosmological constant on a brane in antide Sitter space, Phys. Lett. B 474 (2000) 282.

K. Ghoroku and A. Nakamura, Massive vector trapping as a gauge boson on a brane, Phys. Rev. D 65 (2002) 084017.

L. Randall and R. Sundrum, An Alternative to compactification, Phys. Rev. Lett. 83 (1999) 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.

G. R. Dvali and M. A. Shifman, Domain walls in strongly coupled theories, Phys. Lett. B 396 (1997) 64. [Erratumibid. B 407 (1997) 452].

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.

R. Guerrero, A. Melfo, N. Pantoja and R. O. Rodriguez, Gauge field localization on brane worlds, Phys. Rev. D 81 (2010) 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.

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]].

P. Callin and F. Ravndal, Higher order corrections to the Newtonian potential in the Randall-Sundrum model, Phys. Rev. D 70 (2004) 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.

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.

D. Bazeia, C. Furtado and A. R. Gomes, Brane structure from scalar field in warped space-time, JCAP 0402 (2004) 002.

A. Melfo, N. Pantoja and A. Skirzewski, Thick domain wall space-times with and without reflection symmetry, Phys. Rev. D 67 (2003) 105003.

O. Castillo-Felisola, A. Melfo, N. Pantoja and A. Ramirez, Localizing gravity on exotic thick three-branes, Phys. Rev. D 70 (2004) 104029.

R. Guerrero, R. O. Rodriguez and R. S. Torrealba, De-Sitter and double asymmetric brane worlds, Phys. Rev. D 72 (2005) 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.

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



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