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.
Similar content being viewed by others
References
Csaki, C.: TASI Lectures on Extradimensions and Branes. arXiv: hep-ph/0404096v1 (2004)
Randall, L., Schwarz, M.D.: Quantum Field Theory and Unification in AdS5. JEHP 0111, 003 (2011)
Rizzo, T.G.: Pedagogical Introduction to Extradimensions. arXiv:hep-th/0409309v2 (2004)
Green, M.B., Schwarz, J.H., Witten, E.: Superstring Theory: vol. 1, 2. Cambridge University Press, Cambridge (1987)
Brink, L., Henneaux, M.: Principles of String Theory. Plenum Press, New York (1988)
Duc, D.V.: Basic Principles of Quantum Superstring. Publishing House Natural Sciences and Technology, Hanoi (2007)
Duc, D.V., Giao, N.M.: A mechanism for mass creation from Extradimensions, 2013. arXiv:1301.1405
Duc, D.V., Giao, N.M.: Vector Boson Mass Spectrum from Extradimensions. J. Mod. Phys. 4(N7), 991 (2013)
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)
Duc, D.V., Giao, N.M.: Mass creation from extradimensions. J. Mod. Phys. 5(N6) (2014)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Duc, D.V., Giao, N.M. & Dung, T.T. Mass Spectrum of Spinor Fields in Extra Dimensions. Int J Theor Phys 54, 1071–1076 (2015). https://doi.org/10.1007/s10773-014-2300-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-014-2300-9