English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

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

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