Table of Contents Author Guidelines Submit a Manuscript
Advances in High Energy Physics
Volume 2017 (2017), Article ID 9850312, 8 pages
https://doi.org/10.1155/2017/9850312
Research Article

Neutrino Pair Cerenkov Radiation for Tachyonic Neutrinos

1Department of Physics, Missouri University of Science and Technology, Rolla, MO 65409, USA
2MTA-DE Particle Physics Research Group, P.O. Box 51, Debrecen 4001, Hungary

Correspondence should be addressed to Ulrich D. Jentschura; ude.tsm@jlu

Received 25 May 2017; Accepted 17 October 2017; Published 12 November 2017

Academic Editor: Ming Liu

Copyright © 2017 Ulrich D. Jentschura and István Nándori. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Linked References

  1. O. M. Bilaniuk, V. K. Deshpande, and E. C. Sudarshan, ““Meta'' relativity,” American Journal of Physics, vol. 30, pp. 718–723, 1962. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. J. Dhar and E. C. G. Sudarshan, “Quantum field theory of interacting tachyons,” Physical Review A: Atomic, Molecular and Optical Physics, vol. 174, no. 5, pp. 1808–1815, 1968. View at Publisher · View at Google Scholar · View at Scopus
  3. O.-M. Bilaniuk and E. C. G. Sudarshan, “Causality and space-like signals,” Nature, vol. 223, no. 5204, pp. 386-387, 1969. View at Publisher · View at Google Scholar · View at Scopus
  4. G. Feinberg, “Possibility of faster-than-light particles,” Physical Review A: Atomic, Molecular and Optical Physics, vol. 159, no. 5, pp. 1089–1105, 1967. View at Publisher · View at Google Scholar · View at Scopus
  5. G. Feinberg, “Lorentz invariance of tachyon theories,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 17, no. 6, pp. 1651–1660, 1978. View at Publisher · View at Google Scholar · View at Scopus
  6. E. Recami and R. Mignani, “Classical theory of tachyons (special relativity extended to superluminal frames and objects),” La Rivista del Nuovo Cimento Series 2, vol. 4, no. 3, p. 398, 1974. View at Publisher · View at Google Scholar · View at Scopus
  7. G. D. Maccarrone and E. Recami, “Two-body interactions through tachyon exchange,” Il Nuovo Cimento A, vol. 57, no. 1, pp. 85–101, 1980. View at Publisher · View at Google Scholar
  8. D. G. Boulware, “Unitarity and interacting tachyons,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 1, no. 8, pp. 2426-2427, 1970. View at Publisher · View at Google Scholar · View at Scopus
  9. T. Chang, “Parity Violation and Neutrino Mass,” Nucl.Sci. Technol, vol. 13, pp. 129–133, 2002. View at Google Scholar
  10. E. Recami, “Superluminal waves and objects: an overview of the relevant experiments,” Journal of Physics: Conference Series, vol. 196, Article ID 012020, 2009. View at Publisher · View at Google Scholar · View at Scopus
  11. O. M. Bilaniuk, “Tachyons,” Journal of Physics: Conference Series, vol. 196, no. 1, Article ID 012021, 2009. View at Publisher · View at Google Scholar
  12. S. K. Bose, “Aspects of Tachyon theory,” Journal of Physics: Conference Series, vol. 196, Article ID 012022, 2009. View at Publisher · View at Google Scholar
  13. A. Chodos, A. I. Hauser, and V. Alan Kostelecký, “The neutrino as a tachyon,” Physics Letters B, vol. 150, no. 6, pp. 431–435, 1985. View at Publisher · View at Google Scholar · View at Scopus
  14. U. D. Jentschura and B. J. Wundt, “Pseudo-Hermitian quantum dynamics of tachyonic spin-1/2 particles,” Journal of Physics A: Mathematical and Theoretical, vol. 45, no. 44, Article ID 444017, 2012. View at Publisher · View at Google Scholar · View at Scopus
  15. C. M. Bender and S. Boettcher, ““Real spectra in non-hermitian hamiltonians having PT-symmetry,” Physical Review Letters, vol. 80, no. 24, pp. 5243–5246, 1998. View at Publisher · View at Google Scholar · View at MathSciNet
  16. C. M. Bender and G. V. Dunne, “Large-order perturbation theory for a non-Hermitian PT-symmetric Hamiltonian,” Journal of Mathematical Physics, vol. 40, no. 10, pp. 4616–4621, 1999. View at Publisher · View at Google Scholar · View at MathSciNet
  17. C. M. Bender, S. Boettcher, and P. N. Meisinger, “PT -symmetric quantum mechanics,” Journal of Mathematical Physics, vol. 40, no. 5, pp. 2201–2229, 1999. View at Publisher · View at Google Scholar · View at MathSciNet
  18. C. M. Bender and E. J. Weniger, “Numerical evidence that the perturbation expansion for a non-Hermitian PT -symmetric Hamiltonian is Stieltjes,” Journal of Mathematical Physics, vol. 42, no. 5, pp. 2167–2183, 2001. View at Publisher · View at Google Scholar · View at MathSciNet
  19. C. M. Bender, D. C. Brody, and H. F. Jones, “Erratum: Complex Extension of Quantum Mechanics,” Physical Review Letters, vol. 92, no. 11, pp. 119902–1, 2004. View at Publisher · View at Google Scholar · View at Scopus
  20. A. Mostafazadeh, “Pseudo–Hermiticity versus PT -symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian,” Journal of Mathematical Physics, vol. 43, no. 1, pp. 205–214, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  21. A. Mostafazadeh, “Pseudo-Hermiticity versus PT -Symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum,” Journal of Mathematical Physics, vol. 43, no. 5, pp. 2814–2816, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  22. A. Mostafazadeh, “Pseudo-Hermiticity versus PT -Symmetry III: Equivalence of pseudo-hermiticity and the presence of antilinear symmetries,” Journal of Mathematical Physics, vol. 43, no. 8, pp. 3944–3951, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  23. A. Mostafazadeh, “Pseudo-Hermiticity and Generalized PT- and CPT-Symmetries,” Journal of Mathematical Physics, vol. 44, no. 3, pp. 974–989, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  24. U. D. Jentschura, A. Surzhykov, and J. Zinn-Justin, “Unified treatment of even and odd anharmonic oscillators of arbitrary degree,” Physical Review Letters, vol. 102, no. 1, Article ID 011601, 2009. View at Publisher · View at Google Scholar · View at Scopus
  25. U. D. Jentschura, A. Surzhykov, and J. Zinn-Justin, “Multi–Instantons and Exact Results III: Unified De-scription of the Resonances of Even and Odd Anharmonic Oscillators,” Annals of Physics, vol. 325, no. 5, pp. 1135–1172, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  26. U. D. Jentschura and B. J. Wundt, “From generalized dirac equations to a candidate for dark energy,” ISRN High Energy Physics, vol. 2013, Article ID 374612, 21 pages, 2013. View at Publisher · View at Google Scholar
  27. V. A. Kostelecký and R. Lehnert, “Stability, causality, and Lorentz and CPT violation,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 63, no. 6, Article ID 065008, 2001. View at Publisher · View at Google Scholar · View at Scopus
  28. V. A. Kostelecký and M. Mewes, “Neutrinos with Lorentz-violating operators of arbitrary dimension,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 85, Article ID 096005, 2012. View at Publisher · View at Google Scholar
  29. A. G. Cohen and S. L. Glashow, “Pair creation constrains superluminal neutrino propagation,” Physical Review Letters, vol. 107, no. 18, Article ID 181803, 2011. View at Publisher · View at Google Scholar · View at Scopus
  30. F. Bezrukov and H. M. Lee, “Model dependence of the bremsstrahlung effects from the superluminal neutrino at OPERA,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 85, no. 3, Article ID 031901, 2012. View at Publisher · View at Google Scholar · View at Scopus
  31. M. G. Aartsen, R. Abbasi, Y. Abdou et al., “First Ob-servation of PeV-Energy Neutrinos with IceCube,” Physical Review Letters, vol. 111, Article ID 021103, 2013. View at Publisher · View at Google Scholar
  32. M. G. Aartsen, M. Ackermann, J. Adams et al., “Observation of High-Energy Astrophysical Neutrinos in Three Years of IceCube Data,” Physical Review Letters, vol. 113, Article ID 101101, 2014. View at Publisher · View at Google Scholar
  33. F. W. Stecker and S. T. Scully, “Propagation of superluminal PeV IceCube neutrinos: a high energy spectral cutoff or new constraints on Lorentz invariance violation,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 90, no. 4, Article ID 043012, 2014. View at Publisher · View at Google Scholar · View at Scopus
  34. F. W. Stecker, “Limiting superluminal electron and neutrino velocities using the 2010 Crab Nebula flare and the IceCube PeV neutrino events,” Astroparticle Physics, vol. 56, pp. 16–18, 2014. View at Publisher · View at Google Scholar · View at Scopus
  35. U. D. Jentschura and R. Ehrlich, “Lepton Pair Čerenkov Radiation Emitted by Tachyonic Neutrinos: Lorentz-Covariant Approach and IceCube Data,” Advances in High Energy Physics, vol. 2016, Article ID 4764981, 2016. View at Publisher · View at Google Scholar · View at Scopus
  36. C. Itzykson and J. B. Zuber, Quantum Field Theory, McGraw-Hill, New York, NY, USA, 1980. View at MathSciNet
  37. U. D. Jentschura and B. J. Wundt, “Localizability of tachyonic particles and neutrinoless double beta decay,” The European Physical Journal C, vol. 72, no. 2, pp. 1–13, 2012. View at Publisher · View at Google Scholar · View at Scopus
  38. U. D. Jentschura, D. Horváth, S. Nagy, I. Nándori, Z. Trócsányi, and B. Ujvári, “Weighing the neutrino,” International Journal of Modern Physics E, vol. 23, no. 1, Article ID 1450004, 2014. View at Publisher · View at Google Scholar · View at Scopus
  39. M. Kadler, F. Krauß, K. Mannheim et al., “Coincidence of a high-fluence blazar outburst with a PeV-energy neutrino event,” Nature Physics, vol. 12, no. 8, pp. 807–814, 2016. View at Publisher · View at Google Scholar