Non-minimal coupling branes. (English) Zbl 1348.81377
Summary: We study a thick and \(\mathbb{Z}/2\)-symmetric braneworld model with a non-minimally coupled bulk scalar. Several analytic solutions are found. There are two categories of the brane configuration: standard branes and deformed ones. The former is just the same with the solutions in general relativity, whereas the latter has negative effective energy densities in the location of the branes. The question of stability under metric tensor perturbation is also investigated, and there is no tachyon. We show that the gravity zero mode (namely the 4D massless graviton) is the only one state that can be localized on the branes. So Newtonian potential can be recovered in 4D space-time.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 83E15 | Kaluza-Klein and other higher-dimensional theories |
References:
| [1] | Y. Fujii and K. Maed, The scalar-tensor theory of gravitation, Cambridge University Press, Cambridge U.K. (2003). · Zbl 1079.83023 |
| [2] | A. De Felice and S. Tsujikawa, f (R) theories, Living Rev. Rel.13 (2010) 3 [arXiv:1002.4928] [INSPIRE]. · Zbl 1215.83005 |
| [3] | V. Rubakov and M. Shaposhnikov, Do we live inside a domain wall?, Phys. Lett.B 125 (1983) 136 [INSPIRE]. |
| [4] | N. Arkani-Hamed, S. Dimopoulos, G. Dvali and J. March-Russell, Neutrino masses from large extra dimensions, Phys. Rev.D 65 (2002) 024032 [hep-ph/9811448] [INSPIRE]. |
| [5] | L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett.83 (1999) 3370 [hep-ph/9905221] [INSPIRE]. · Zbl 0946.81063 · doi:10.1103/PhysRevLett.83.3370 |
| [6] | L. Randall and R. Sundrum, An alternative to compactification, Phys. Rev. Lett.83 (1999) 4690 [hep-th/9906064] [INSPIRE]. · Zbl 0946.81074 · doi:10.1103/PhysRevLett.83.4690 |
| [7] | O. DeWolfe, D. Freedman, S. Gubser and A. Karch, Modeling the fifth-dimension with scalars and gravity, Phys. Rev.D 62 (2000) 046008 [hep-th/9909134] [INSPIRE]. |
| [8] | K.A. Bronnikov and B.E. Meierovich, A general thick brane supported by a scalar field, Grav. Cosmol.9 (2003) 313 [gr-qc/0402030] [INSPIRE]. · Zbl 1057.83018 |
| [9] | D. Bazeia, A. Gomes, L. Losano and R. Menezes, Braneworld models of scalar fields with generalized dynamics, Phys. Lett.B 671 (2009) 402 [arXiv:0808.1815] [INSPIRE]. |
| [10] | M. Toharia, M. Trodden and E.J. West, Scalar kinks in warped extra dimensions, Phys. Rev.D 82 (2010) 025009 [arXiv:1002.0011] [INSPIRE]. |
| [11] | G. Alencar, M. Tahim, R. Landim, C. Muniz and R. Costa Filho, Bulk antisymmetric tensor fields coupled to a dilaton in a Randall-Sundrum model, Phys. Rev.D 82 (2010) 104053[arXiv:1005.1691] [INSPIRE]. |
| [12] | V. Dzhunushaliev, V. Folomeev and M. Minamitsuji, Thick brane solutions, Rept. Prog. Phys.73 (2010) 066901 [arXiv:0904.1775] [INSPIRE]. · doi:10.1088/0034-4885/73/6/066901 |
| [13] | C. Bogdanos, A. Dimitriadis and K. Tamvakis, Brane models with a Ricci-coupled scalar field, Phys. Rev.D 74 (2006) 045003 [hep-th/0604182] [INSPIRE]. |
| [14] | K. Farakos, G. Koutsoumbas and P. Pasipoularides, Graviton localization and Newton’s law for brane models with a non-minimally coupled bulk scalar field, Phys. Rev.D 76 (2007) 064025 [arXiv:0705.2364] [INSPIRE]. |
| [15] | K. Farakos and P. Pasipoularides, Gravity-induced instability and gauge field localization, Phys. Lett.B 621 (2005) 224 [hep-th/0504014] [INSPIRE]. · Zbl 1247.81368 |
| [16] | K. Farakos and P. Pasipoularides, Second Randall-Sundrum brane world scenario with a nonminimally coupled bulk scalar field, Phys. Rev.D 73 (2006) 084012 [hep-th/0602200] [INSPIRE]. |
| [17] | K. Farakos and P. Pasipoularides, Gauss-Bonnet gravity, brane world models and non-minimal coupling, Phys. Rev.D 75 (2007) 024018 [hep-th/0610010] [INSPIRE]. |
| [18] | O. Bertolami and C. Carvalho, Spontaneous symmetry breaking in the bulk as a localization mechanism of fields on the brane, Phys. Rev.D 76 (2007) 104048 [arXiv:0705.1923] [INSPIRE]. |
| [19] | A. Andrianov and L. Vecchi, On the stability of thick brane worlds non-minimally coupled to gravity, Phys. Rev.D 77 (2008) 044035 [arXiv:0711.1955] [INSPIRE]. |
| [20] | C. Bogdanos, A. Dimitriadis and K. Tamvakis, Brane cosmology with a non-minimally coupled bulk-scalar field, Class. Quant. Grav.24 (2007) 3701 [hep-th/0611181] [INSPIRE]. · Zbl 1206.83156 · doi:10.1088/0264-9381/24/14/010 |
| [21] | M. Setare and E. Saridakis, Braneworld models with a non-minimally coupled phantom bulk field: a simple way to obtain the -1-crossing at late times, JCAP03 (2009) 002[arXiv:0811.4253] [INSPIRE]. · doi:10.1088/1475-7516/2009/03/002 |
| [22] | H. Guo, Y.-X. Liu, Z.-H. Zhao and F.-W. Chen, Thick branes with a non-minimally coupled bulk-scalar field, arXiv:1106.5216 [INSPIRE]. |
| [23] | L. Granda and W. Cardona, General non-minimal kinetic coupling to gravity, JCAP 07 (2010) 021 [arXiv:1005.2716] [INSPIRE]. · doi:10.1088/1475-7516/2010/07/021 |
| [24] | K. Koyama and S. Mizuno, Inflaton perturbations in brane-world cosmology with induced gravity, JCAP07 (2006) 013 [gr-qc/0606056] [INSPIRE]. · doi:10.1088/1475-7516/2006/07/013 |
| [25] | A.S. Mikhailov, Y.S. Mikhailov, M.N. Smolyakov and I.P. Volobuev, Constructing stabilized brane world models in five-dimensional Brans-Dicke theory, Class. Quant. Grav.24 (2007) 231 [hep-th/0602143] [INSPIRE]. · Zbl 1133.83380 · doi:10.1088/0264-9381/24/1/012 |
| [26] | S.B. Giddings, E. Katz and L. Randall, Linearized gravity in brane backgrounds, JHEP03 (2000) 023 [hep-th/0002091] [INSPIRE]. · Zbl 0959.83048 · doi:10.1088/1126-6708/2000/03/023 |
| [27] | J. Garriga and T. Tanaka, Gravity in the brane world, Phys. Rev. Lett.84 (2000) 2778[hep-th/9911055] [INSPIRE]. · Zbl 0949.83019 · doi:10.1103/PhysRevLett.84.2778 |
| [28] | K. Bronnikov, S. Kononogov and V. Melnikov, Brane world corrections to Newton’s law, Gen. Rel. Grav.38 (2006) 1215 [gr-qc/0601114] [INSPIRE]. · Zbl 1101.83046 · doi:10.1007/s10714-006-0300-7 |
| [29] | R.L. Arnowitt and J. Dent, Gravitational forces in the Randall-Sundrum model with a scalar stabilizing field, Phys. Rev.D 75 (2007) 064001 [hep-th/0509081] [INSPIRE]. |
| [30] | 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 [hep-th/0010112] [INSPIRE]. · Zbl 0977.83073 |
| [31] | A. Herrera-Aguilar, D. Malagon-Morejon and R.R. Mora-Luna, Localization of gravity on a de Sitter thick braneworld without scalar fields, JHEP11 (2010) 015 [arXiv:1009.1684] [INSPIRE]. · Zbl 1294.81203 · doi:10.1007/JHEP11(2010)015 |
| [32] | Y.-X. Liu, Y. Zhong, Z.-H. Zhao and H.-T. Li, Domain wall brane in squared curvature gravity, JHEP06 (2011) 135 [arXiv:1104.3188] [INSPIRE]. · Zbl 1298.83120 · doi:10.1007/JHEP06(2011)135 |
| [33] | S. Kobayashi, K. Koyama and J. Soda, Thick brane worlds and their stability, Phys. Rev.D 65 (2002) 064014 [hep-th/0107025] [INSPIRE]. |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
