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Quantum Gravitational Corrections to the Real Klein-Gordon Field in the Presence of a Minimal Length | | S. K. Moayedi
; M. R. Setare
; H. Moayeri
; | | Date: |
5 Apr 2010 | | Abstract: | The (D+1)-dimensional $(eta,eta’)$-two-parameter Lorentz-covariant
deformed algebra introduced by Quesne and Tkachuk [C. Quesne and V. M. Tkachuk,
J. Phys. A: Math. Gen. extbf {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 $eta’=2eta$ up to first order
over deformation parameter $eta$. 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 $eta<frac{1}{8m^{2}c^{2}}$ which
leads to an isotropic minimal length in the interval $10^{-17}m<(igtriangleup
X^{i})_{0}<10^{-15}m$. Finally, we have shown that the above estimation of
minimal length is in good agreement with the results obtained in previous
investigations. | | Source: | arXiv, 1004.0563 | | Services: | Forum | Review | PDF | Favorites | |
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