Luo, CB (reprint author), Nanjing Univ, Inst Acoust, Key Lab Modern Acoust, MOE, Nanjing 210093, Jiangsu, Peoples R China.
Introducing constant background fields into the noncommutative gauge theory, we first obtain a Hermitian fermion Lagrangian which involves a Lorentz violation term, then we generalize it to a new deformed canonical noncommutation relations for fermion field. Massless neutrino oscillation in the deformed canonical noncommutation relations is analyzed. The restriction of the noncommutative coefficients is also discussed. By comparing with the existing experimental data of conventional neutrino oscillations, the order of noncommutative deformed coefficients is given from different ways.
National Natural Science Foundation of China [11275097, 11475085]
; Foundation of the Graduate School of Nanjing University [2014CL02]
; National Basic Research Program of China [2012CB921504]
; Jiangsu Planned Projects for Postdoctoral Research Funds [1402006C]