Fermion field in the vicinity of a brane
Takashi Taneichi
Renko-ji, Tama-shi, Tokyo, Japan.
DOI: 10.4236/ns.2013.510138   PDF   HTML   XML   4,655 Downloads   6,475 Views   Citations

Abstract

A mechanism that enables fermions to live outside of but be localized near a brane is proposed based on the field-theoretical framework. Two types of fermion fields are considered: one is localized to the brane through the Yukawa interaction, and another is localized through the fermion interaction. It is shown that, besides the well-localized zero-mode, there exists a light mode continuum of which oscillating components are delocalized. As a consequence it is possible to assume existence of invisible material particles that live outside the brane on which we reside and beleaguer visible particles. A possible extension to the mind-body problem is discussed.

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Taneichi, T. (2013) Fermion field in the vicinity of a brane. Natural Science, 5, 1127-1131. doi: 10.4236/ns.2013.510138.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Parnia, S. (2007) Do reports of consciousness during cardiac arrest hold the key to discovering the nature of consciousness? Medical Hypotheses, 69, 933-937.
http://dx.doi.org/10.1016/j.mehy.2007.01.076
[2] Parnia, S. and Fenwick, P. (2002) Near death experiences in cardiac arrest: Visions of a dying brain or visions of a new science of consciousness. Resuscitation, 52, 5-11.
http://dx.doi.org/10.1016/S0300-9572(01)00469-5
[3] Parnia, S., Walker, D., Yeates, R. and Fenwick, P. (2001) A qualitative and quantitative study of the incidence, features and aetiology of near death experiences in cardiac arrest survivors. Resuscitation, 48, 149-156.
http://dx.doi.org/10.1016/S0300-9572(00)00328-2
[4] Arkani-Hamed, N., Dimopoulos, S. and March-Russell, J. (2001) Stabilization of submillimeter dimensions: The new guise of the hierarchy problem. Physical Review D, 63, 064020.
http://dx.doi.org/10.1103/PhysRevD.63.064020
[5] Randall, L. and Sundrum, R. (1999) Large mass hierarchy from a small extra dimension. Physical Review Letters, 83, 3370-3373.
http://dx.doi.org/10.1103/PhysRevLett.83.3370
[6] Arkani-Hamed, N., Hall, L., Smith, D. and Weiner, N. (2000) Solving the hierarchy problem with exponentially large dimensions. Physical Review D, 62, 105002.
http://dx.doi.org/10.1103/PhysRevD.62.105002
[7] Arkani-Hamed, N., Dimopoulos, S., Dvali, G. and Kaloper, N. (2000) Manyfold universe. Journal of High Energy Physics, 12, 010.
[8] Khoury, J., Ovrut, B.A., Steinhardt, P.J. and Turok, N. (2001) Ekpyrotic universe: Colliding branes and the origin of the hot big bang. Physical Review D, 64, 123522.
http://dx.doi.org/10.1103/PhysRevD.64.123522
[9] Rasanen, S. (2002) On ekpyrotic brane collisions. Nuclear Physics B, 626, 183-206.
http://dx.doi.org/10.1016/S0550-3213(02)00056-1
[10] Arkani-Hamed, N., Dimopoulos, S. and Dvali, G. (1998) The hierarchy problem and new dimensions at a millimeter. Physics Letters B, 429, 263-272.
http://dx.doi.org/10.1016/S0370-2693(98)00466-3
[11] Horava, P. and Witten, E. (1996) Heterotic and Type I string dynamics from eleven dimensions. Nuclear Physics B, 460, 506-524.
http://dx.doi.org/10.1016/0550-3213(95)00621-4
[12] Lukas, A., Ovrut, B.A., Stelle, K.S. and Waldram, D. (1999) Universe as a domain wall. Physical Review D, 59, 086001. http://dx.doi.org/10.1103/PhysRevD.59.086001
[13] Dvali, G. and Shifman, M. (1997) Domain walls in strongly coupled theories. Physics Letters B, 396, 64-69.
http://dx.doi.org/10.1016/S0370-2693(97)00131-7
[14] Dvali, G., Gabadadze, G. and Shifman, M. (2000) (Quasi) Localized gauge field on a brane: Dissipating cosmic radiation to extra dimensions?
[15] Dimopoulos, P., Farakos, K., Kehagias, A. and Koutsoumbas, G. (2000) Lattice evidence for gauge field localization on a brane.
[16] Duff, M.J., Liu, J.T. and Sabra, W.A. (2001) Localization of supergravity on the brane. Nuclear Physics B, 605, 234-244.
http://dx.doi.org/10.1016/S0550-3213(01)00160-2
[17] Ghoroku, K. and Nakamura, A. (2002) Massive vector trapping as a gauge boson on a brane. Physical Review D, 65, 084017.
http://dx.doi.org/10.1103/PhysRevD.65.084017
[18] Akhmedov, E.Kh. (2001) Dynamical localization of gauge fields on a brane. Physics Letters B, 521, 79-86.
http://dx.doi.org/10.1016/S0370-2693(01)01176-5
[19] Dvali, G., Gabadadze, G. and Porrati, M. (2000) 4D gravity on a brane in 5D Minkowski space. Physics Letters B, 485, 208-214.
http://dx.doi.org/10.1016/S0370-2693(00)00669-9
[20] Dubovsky, S.L. and Rubakov, V.A. (2001) On models of gauge field localization on a brane. International Journal of Modern Physics A, 16, 4331-4349.
http://dx.doi.org/10.1142/S0217751X01005286
[21] Liu, Y.-X., Zhao, Z.-H., Wei, S.-W. and Duan, Y.-S. (2009) Bulk matters on symmetric and asymmetric de Sitter thick branes. Journal of Cosmology and Astroparticle Physics, 2, 3.
[22] Liu, Y.-X., Zhang, L.-D., Wei, S.-W. and Duan, Y.-S. (2008) Localization and mass spectrum of matters on Weyl thick branes. Journal of High Energy Physics, 8, 41.
[23] Bajc, B. and Gabadadze, G. (2000) Localization of matter and cosmological constant on a brane in anti de Sitter space. Physics Letters B, 474, 282-291.
http://dx.doi.org/10.1016/S0370-2693(00)00055-1
[24] Randjbar-Daemi, S. and Shaposhnikov, M. (2001) Fermion zero-modes on brane-worlds.
[25] Akama, K. (2000) An early proposal of “brane world”.
[26] Rubakov, V.A. and Shaposhnikov, M.E. (1983) Do we live inside a domain wall? Physics Letters B, 125, 136-138.
http://dx.doi.org/10.1016/0370-2693(83)91253-4
[27] Pavsic, M. (1986) Einstein’s gravity from a first order lagrangian in an embedding space. Physics Letters A, 116, 1-5. http://dx.doi.org/10.1016/0375-9601(86)90344-0
[28] Bryan, R. (1999) Are the Dirac particles of the Standard Model dynamically confined states in a higher dimensional flat space? Canadian Journal of Physics, 77, 197-210.
http://dx.doi.org/10.1139/p99-012
[29] Gregory, R., Rubakov, V.A. and Sibiryakov, S.M. (2000) Brane worlds: The gravity of escaping matter. Classical and Quantum Gravity, 17, 4437-4450.
http://dx.doi.org/10.1088/0264-9381/17/21/306
[30] Dubovsky, S.L., Rubakov, V.A. and Tinyakov, P.G. (2000) Brane world: Disappearing massive matter. Physical Review D, 62, 105011.
http://dx.doi.org/10.1103/PhysRevD.62.105011
[31] Pavsic, M. (2001) A brane world model with intersecting branes. Physics Letters A, 283, 8-14.
http://dx.doi.org/10.1016/S0375-9601(01)00189-X
[32] Kehagias, A. and Tamvakis, K. (2001) Localized gravitons, gauge bosons and chiral fermions in smooth spaces generated by a bounce. Physics Letters B, 504, 38-46.
http://dx.doi.org/10.1016/S0370-2693(01)00274-X
[33] Ringeval, C., Peter, P. and Uzan, J.P. (2002) Localization of massive fermions on the brane. Physical Review D, 65, 044016. http://dx.doi.org/10.1103/PhysRevD.65.044016
[34] Melfo, A., Pantoja, N. and Tempo, J.D. (2006) Fermion localization on thick branes. Physical Review D, 73, 044033.
http://dx.doi.org/10.1103/PhysRevD.73.044033
[35] Sarrazin, M. and Petit, F. (2010) Equivalence between domain-walls and “noncommutative” two-sheeted spacetimes: Model-independent matter swapping between branes.

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