PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Czasopismo
2012 | 10 | 4 | 749-762
Tytuł artykułu

Tachyonic field theory and neutrino mass running

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper three things are done. (i) We investigate the analogues of Cerenkov radiation for the decay of a superluminal neutrino and calculate the Cerenkov angles for the emission of a photon through a W loop, and for a collinear electron-positron pair, assuming the tachyonic dispersion relation for the superluminal neutrino. The decay rate of a freely propagating neutrino is found to depend on the shape of the assumed dispersion relation, and is found to decrease with decreasing tachyonic mass of the neutrino. (ii)We discuss a few properties of the tachyonic Dirac equation (symmetries and plane-wave solutions), which may be relevant for the description of superluminal neutrinos seen by the OPERA experiment, and discuss the calculation of the tachyonic propagator. (iii) In the absence of a commonly accepted tachyonic field theory, and in view of an apparent “running” of the observed neutrino mass with the energy, we write down a model Lagrangian, which describes a Yukawa-type interaction of a neutrino coupling to a scalar background field via a scalar-minus-pseudoscalar interaction. This constitutes an extension of the standard model. If the interaction is strong, then it leads to a substantial renormalization-group “running” of the neutrino mass and could potentially explain the experimental observations.
Wydawca

Czasopismo
Rocznik
Tom
10
Numer
4
Strony
749-762
Opis fizyczny
Daty
wydano
2012-08-01
online
2012-07-17
Twórcy
  • Department of Physics, Missouri University of Science and Technology, Rolla, Missouri, 65409-0640, USA
Bibliografia
  • [1] E. Recami, J. Phys. Conf. Ser. 196, 012020 (2009) http://dx.doi.org/10.1088/1742-6596/196/1/012020[Crossref]
  • [2] V. L. Dadykin et al., JETP 45, 593 (1987)
  • [3] P. Adamson et al., Phys. Rev. D 76, 072005 (2007) http://dx.doi.org/10.1103/PhysRevD.76.072005[Crossref]
  • [4] G. R. Kalbfleisch, N. Baggett, E. C. Fowler, J. Alspector, Phys. Rev. Lett. 43, 1361 (1979) http://dx.doi.org/10.1103/PhysRevLett.43.1361[Crossref]
  • [5] T. Adam et al. (OPERA Collaboration), arXiv:1109.4897v2
  • [6] R. G. H. Robertson, T. J. Bowles, G. J. Stephenson, D. L. Wark, J. F. Wilkerson, D. A. Knapp, Phys. Rev. Lett. 67, 957 (1991) http://dx.doi.org/10.1103/PhysRevLett.67.957[Crossref]
  • [7] K. Assamagan et al., Phys. Lett. B 335, 231 (1994) http://dx.doi.org/10.1016/0370-2693(94)91419-2[Crossref]
  • [8] W. Stoeffl, D. J. Decman, Phys. Rev. Lett. 75, 3237 (1995) http://dx.doi.org/10.1103/PhysRevLett.75.3237[Crossref]
  • [9] K. Assamagan et al., Phys. Rev. D 53, 6065 (1996) http://dx.doi.org/10.1103/PhysRevD.53.6065[Crossref]
  • [10] C. Weinheimer et al., Phys. Lett. B 460, 219 (1999) http://dx.doi.org/10.1016/S0370-2693(99)00780-7[Crossref]
  • [11] V. M. Lobashev et al., Phys. Lett. B 460, 227 (1999) http://dx.doi.org/10.1016/S0370-2693(99)00781-9[Crossref]
  • [12] A. I. Belesev et al., Phys. At. Nucl. 71, 449 (2008) http://dx.doi.org/10.1134/S1063778808030046[Crossref]
  • [13] A. Chodos, A. I. Hauser, V. A. Kostelecky, Phys. Lett. B 150, 431 (1985) http://dx.doi.org/10.1016/0370-2693(85)90460-5[Crossref]
  • [14] T. Chang, arXiv:hep-th/0011087
  • [15] T. Chang, Nucl. Sci. Technol. 13, 129 (2002)
  • [16] U. D. Jentschura, B. J. Wundt, arXiv:1110.4171 [hepph]
  • [17] A. Sommerfeld, Zur Elektronentheorie. III. Ue-ber Lichtgeschwindigkeits- und Ueberlichtgeschwindigkeitselektronen, Nachr. k. Ges. Wiss. Göttingen, Heft 3, 201–235 (1905)
  • [18] G. Feinberg, Phys. Rev. 159, 1089 (1967) http://dx.doi.org/10.1103/PhysRev.159.1089[Crossref]
  • [19] O. M. P. Bilaniuk, V. K. Deshpande, E. C. G. Sudarshan, Am. J. Phys. 30, 718 (1962) http://dx.doi.org/10.1119/1.1941773[Crossref]
  • [20] J. Bandukwala, D. Shay, Phys. Rev. D 9, 889 (1974) http://dx.doi.org/10.1103/PhysRevD.9.889[Crossref]
  • [21] H. van Dam, Y. J. Ng, L. C. Biedenharn, Phys. Lett. B 158, 227 (1985) http://dx.doi.org/10.1016/0370-2693(85)90961-X[Crossref]
  • [22] L. Xinzhou, L. Jizong, J. Phys. A 20, 6113 (1987) http://dx.doi.org/10.1088/0305-4470/20/17/043[Crossref]
  • [23] O. M. Bilaniuk, J. Phys. Conf. Ser. 196, 012021 (2009) http://dx.doi.org/10.1088/1742-6596/196/1/012021[Crossref]
  • [24] S. K. Bose, J. Phys. Conf. Ser. 196, 012022 (2009) http://dx.doi.org/10.1088/1742-6596/196/1/012022[Crossref]
  • [25] P. Defraigne, G. Petit, Metrologia 40, 184 (2003) http://dx.doi.org/10.1088/0026-1394/40/4/307[Crossref]
  • [26] J. Levine, Metrologia 45, 184 (2008)
  • [27] A. G. Cohen, S. L. Glashow, Phys. Rev. Lett. 107, 181803 (2011) http://dx.doi.org/10.1103/PhysRevLett.107.181803[Crossref]
  • [28] G. Amelino-Camelia, arXiv:gr-qc/0012051
  • [29] G. Amelino-Camelia, Symmetry 2, 230 (2010) http://dx.doi.org/10.3390/sym2010230[Crossref]
  • [30] G. Amelino-Camelia et al. (OPERA Collaboration), arXiv:1109.5172
  • [31] G. Amelino-Camelia, L. Freidel, J. Kowalski-Glikman, L. Smolin (OPERA Collaboration), arXiv:1110.0521
  • [32] X.-J. Bi, P.-F. Yin, Z.-H. Yu, Q. Yuan, Phys. Rev. Lett. 107, 241802 (2011) http://dx.doi.org/10.1103/PhysRevLett.107.241802[Crossref]
  • [33] R. Cowsik, S. Nussinov, U. Sarkar, Phys. Rev. Lett. 107, 251801 (2011) http://dx.doi.org/10.1103/PhysRevLett.107.251801[Crossref]
  • [34] L. Gonzalez-Mestres, arXiv:1109.6630
  • [35] M. E. Arons, E. C. G. Saudarshan, Phys. Rev. 173, 1622 (1968) http://dx.doi.org/10.1103/PhysRev.173.1622[Crossref]
  • [36] J. Dhar, E. C. G. Saudarshan, Phys. Rev. 174, 1808 (1968) http://dx.doi.org/10.1103/PhysRev.174.1808[Crossref]
  • [37] R. I. Sutherland, J. R. Shepanski, Phys. Rev. D 33, 2896 (1986) http://dx.doi.org/10.1103/PhysRevD.33.2896[Crossref]
  • [38] S. Mohanty, S. Rao, arXiv:1111.2725
  • [39] M. Li, D. Liu, J. Meng, T. Wang, L. Zhou, arXiv:1111.3294
  • [40] U. D. Jentschura, Phys. Rev. A 64, 013403 (2001) http://dx.doi.org/10.1103/PhysRevA.64.013403[Crossref]
  • [41] W. Pauli, Rev. Mod. Phys. 15, 175 (1943) http://dx.doi.org/10.1103/RevModPhys.15.175[Crossref]
  • [42] C. M. Bender, S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998) http://dx.doi.org/10.1103/PhysRevLett.80.5243[Crossref]
  • [43] C. M. Bender, G. V. Dunne, J. Math. Phys. 40, 4616 (1999) http://dx.doi.org/10.1063/1.532991[Crossref]
  • [44] C. M. Bender, S. Boettcher, P. N. Meisinger, J. Math. Phys. 40, 2201 (1999) http://dx.doi.org/10.1063/1.532860[Crossref]
  • [45] C. M. Bender, D. C. Brody, H. F. Jones, Phys. Rev. Lett. 89, 270401 (2002) http://dx.doi.org/10.1103/PhysRevLett.89.270401[Crossref]
  • [46] A. Mostafazadeh, J. Math. Phys. 43, 205 (2002) http://dx.doi.org/10.1063/1.1418246[Crossref]
  • [47] A. Mostafazadeh, J. Math. Phys. 43, 2814 (2002) http://dx.doi.org/10.1063/1.1461427[Crossref]
  • [48] A. Mostafazadeh, J. Math. Phys. 43, 3944 (2002) http://dx.doi.org/10.1063/1.1489072[Crossref]
  • [49] A. Mostafazadeh, J. Math. Phys. 44, 974 (2003) http://dx.doi.org/10.1063/1.1539304[Crossref]
  • [50] D. G. Boulware, Phys. Rev. D 1, 2426 (1970) http://dx.doi.org/10.1103/PhysRevD.1.2426[Crossref]
  • [51] N. Moiseyev, Phys. Rep. 302, 211 (1998) http://dx.doi.org/10.1016/S0370-1573(98)00002-7[Crossref]
  • [52] C. W. McCurdy, C. K. Stroud, Comput. Phys. Commun. 63, 323 (1991) http://dx.doi.org/10.1016/0010-4655(91)90259-N[Crossref]
  • [53] U. D. Jentschura, A. Surzhykov, M. Lubasch, J. Zinn-Justin, J. Phys. A 41, 095302 (2008) http://dx.doi.org/10.1088/1751-8113/41/9/095302[Crossref]
  • [54] C. Itzykson, J. B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980)
  • [55] U. D. Jentschura, B. J. Wundt, arXiv:1201.0359 [hepph]
  • [56] V. K. Oikonomou, arXiv:1109.6170
  • [57] I. M. Suslov, JETP 93, 1 (2001) http://dx.doi.org/10.1134/1.1391515[Crossref]
  • [58] I. M. Suslov, JETP Lett. 74, 191 (2001) http://dx.doi.org/10.1134/1.1413543[Crossref]
  • [59] I. M. Suslov, JETP Lett. 76, 327 (2002) http://dx.doi.org/10.1134/1.1525030[Crossref]
  • [60] O.-M. Bilaniuk, E. C. G. Sudarshan, Nature (London) 223, 386 (1969) http://dx.doi.org/10.1038/223386b0[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-012-0031-1
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.