International Journal of Theoretical Physics

, Volume 54, Issue 3, pp 1071–1076 | Cite as

Mass Spectrum of Spinor Fields in Extra Dimensions

  • Dao Vong Duc
  • Nguyen Mong Giao
  • Tran Thanh Dung
Article

Abstract

The mass spectrum for spinor fields in extra dimensions is considered within the framework of the mass creation mechanism proposed in our previous works (Duc and Giao 2013; Duc and Giao J. Mod. Phys. 4(N7), 991, 2013; Duc et al. J. Phys Sci. Appl. (USA) 4(N1), 60, 2014; Duc and Giao J. Mod. Phys. 5(N6), 2014). It is shown that a single spinor field in the whole space-time with extradimensions corresponds to a set of multiplets of effective spinor fields in ordinary 4-dimensional space-time with masses obeying the sum rule expressed in terms of metric for extradimensions and parameter functions dictated from the periodicity conditions.

Keywords

Extradimensions Mass spectrum Spinor field 

References

  1. 1.
    Csaki, C.: TASI Lectures on Extradimensions and Branes. arXiv: hep-ph/0404096v1 (2004)
  2. 2.
    Randall, L., Schwarz, M.D.: Quantum Field Theory and Unification in AdS5. JEHP 0111, 003 (2011)Google Scholar
  3. 3.
    Rizzo, T.G.: Pedagogical Introduction to Extradimensions. arXiv:hep-th/0409309v2 (2004)
  4. 4.
    Green, M.B., Schwarz, J.H., Witten, E.: Superstring Theory: vol. 1, 2. Cambridge University Press, Cambridge (1987)Google Scholar
  5. 5.
    Brink, L., Henneaux, M.: Principles of String Theory. Plenum Press, New York (1988)CrossRefGoogle Scholar
  6. 6.
    Duc, D.V.: Basic Principles of Quantum Superstring. Publishing House Natural Sciences and Technology, Hanoi (2007)Google Scholar
  7. 7.
    Duc, D.V., Giao, N.M.: A mechanism for mass creation from Extradimensions, 2013. arXiv:1301.1405
  8. 8.
    Duc, D.V., Giao, N.M.: Vector Boson Mass Spectrum from Extradimensions. J. Mod. Phys. 4(N7), 991 (2013)CrossRefGoogle Scholar
  9. 9.
    Duc, D.V., Giao, N.M., Dung, T.T.: Time-like Extradimensions as the Origin of Tachyons. J. Phys Sci. Appl. (USA) 4(N1), 60 (2014)Google Scholar
  10. 10.
    Duc, D.V., Giao, N.M.: Mass creation from extradimensions. J. Mod. Phys. 5(N6) (2014)Google Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Dao Vong Duc
    • 1
  • Nguyen Mong Giao
    • 2
  • Tran Thanh Dung
    • 3
  1. 1.Institute of PhysicsHanoiVietnam
  2. 2.Center for Nuclear TechniquesHochiminh CityVietnam
  3. 3.Thu Dau Mot UniversityBinh DuongVietnam

Personalised recommendations