Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-04-05
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, no figure
Scientific paper
The (D+1)-dimensional $(\beta,\beta')$-two-parameter Lorentz-covariant deformed algebra introduced by Quesne and Tkachuk [C. Quesne and V. M. Tkachuk, J. Phys. A: Math. Gen. \textbf {39}, 10909 (2006).], leads to a nonzero minimal uncertainty in position (minimal length). The Klein-Gordon equation in a (3+1)-dimensional space-time described by Quesne-Tkachuk Lorentz-covariant deformed algebra is studied in the case where $\beta'=2\beta$ up to first order over deformation parameter $\beta$. It is shown that the modified Klein-Gordon equation which contains fourth-order derivative of the wave function describes two massive particles with different masses. We have shown that physically acceptable mass states can only exist for $\beta<\frac{1}{8m^{2}c^{2}}$ which leads to an isotropic minimal length in the interval $10^{-17}m<(\bigtriangleup X^{i})_{0}<10^{-15}m$. Finally, we have shown that the above estimation of minimal length is in good agreement with the results obtained in previous investigations.
Moayedi S. K.
Moayeri H.
Setare Mohammad R.
No associations
LandOfFree
Quantum Gravitational Corrections to the Real Klein-Gordon Field in the Presence of a Minimal Length does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantum Gravitational Corrections to the Real Klein-Gordon Field in the Presence of a Minimal Length, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Gravitational Corrections to the Real Klein-Gordon Field in the Presence of a Minimal Length will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-636793