NS  Vol.5 No.10 , October 2013
Fermion field in the vicinity of a brane
Author(s) Takashi Taneichi
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.


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