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arXiv · 1609.00797

Discussion on Lorentz Invariance Violation of Non-commutative Field Theory and Neutrino Oscillation

Cui-Bai Luo·Song Shi·Yi-Lun Du·Yong-Long Wang·Hong-Shi Zong
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Abstract

Depending on deformed canonical anti-commutation relations, massless neutrino oscillation based on Lorentz invariance violation in non-commutative field theory is discussed. It is found that the previous studies about massless neutrino oscillation within deformed canonical anti-commutation relations should satisfy the condition of new Moyal product and new non standard commutation relations. Furthermore, comparing the Lorentz Invariant Violation parameters $\mathit{A}$ in the previous studies with new Moyal product and new non standard commutation relations, we find that the orders of magnitude of non-commutative parameters (Lorentz invariant Violation parameters $\mathit{A}$) is not self-consistent. This inconsistency means that the previous studies of Lorentz invariance violation in non-commutative field theory may not naturally explain massless neutrino oscillation. In other words, it should be impossible to explain neutrino oscillation by Lorentz invariance violation in non-commutative field theory. This conclusion is supported by the latest atmospheric neutrinos experimental results from the Super-Kamiokande Collaboration, which show that no evidence of Lorentz invariance violation on atmospheric neutrinos was observed.

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Cui-Bai Luo, Song Shi, Yi-Lun Du, Yong-Long Wang, Hong-Shi Zong. 2016-09-03. Discussion on Lorentz Invariance Violation of Non-commutative Field Theory and Neutrino Oscillation. https://doi.org/10.1142/s0217751x17500403

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