تقرير
Relativistic dispersion relation and putative metric structure in noncommutative phase-space
| العنوان: | Relativistic dispersion relation and putative metric structure in noncommutative phase-space |
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| المؤلفون: | Leal, P., Bertolami, O. |
| سنة النشر: | 2019 |
| المجموعة: | General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, General Relativity and Quantum Cosmology, High Energy Physics - Theory |
| الوصف: | The deformation of the relativistic dispersion relation caused by noncommutative (NC) Quantum Mechanics (QM) is studied using the extended phase-space formalism. The introduction of the additional commutation relations induces Lorentz invariance violation. It is shown that this deformation does not affect the propagation speed of free massless particles. From the deformation of the dispersion relation for massless particles, gamma ray burst data is used to establish an upper bound on the noncommutative parameter, $\eta$, namely $\sqrt{\eta} \lesssim 10^{-12} \,\mathrm{eV/c}$. Additionally, a putative metric structure for the noncommutative phase-space is discussed. Comment: 18 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.physletb.2019.04.049 |
| URL الوصول: | http://arxiv.org/abs/1903.11352 |
| رقم الأكسشن: | edsarx.1903.11352 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.physletb.2019.04.049 |
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