Massive neutrino in noncommutative space-time

2007/12/31 by M. M. Ettefaghi, M. Haghighat · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Gauge (firearms) #Higgs boson #MAJORANA #Mathematical physics #Neutrino #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Particle physics #Particle physics theoretical and experimental studies #Physics #Standard Model (mathematical formulation) #astro-ph #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.77.056009

published as Phys.Rev.D77:056009,2008 · 14 pages, 1 figure, to appear in Phys. Rev. D

openalex publication_date 2008/03/26 · arxiv created 2008/04/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider the noncommutative standard model based on SU(3)\ifmmode×\else\texttimes\fiSU(2)\ifmmode×\else\texttimes\fiU(1). We study the gauge transformation of right-handed neutrinos and its direct interaction with photons in the noncommutative space-time. We show that the massive Dirac neutrinos, through the Higgs mechanism, cannot accommodate this extension of the standard model, while the massive Majorana neutrinos are consistent with the gauge symmetry of the model. The electromagnetic properties and the dispersion relations for the neutrino in the noncommutative standard model is examined. We also compare the results with the noncommutative standard model based on U(3)\ifmmode×\else\texttimes\fiU(2)\ifmmode×\else\texttimes\fiU(1).

Citations

• On bound states of photons in noncommutative U(1) gauge theory
• String theory and noncommutative geometry
• Construction of non-Abelian gauge theories on noncommutative spaces
• Coherent neutrino interactions in a dense medium
• The standard model on non-commutative space-time: electroweak currents and the Higgs sector
• Gauge theory on noncommutative spaces
• Neutrino masses in SU(2) ⊗ U(1) theories
• Lorentz-violating extension of the standard model
• Hydrogen Atom Spectrum and the Lamb Shift in Noncommutative QED
• CPTviolation and the standard model
• Measurements of the Solar Neutrino Flux from Super-Kamiokande's First 300 Days

Cited by

• Bounds on the parameter of noncommutativity from supernova SN1987A
• Lorentz violation in the Higgs sector and the noncommutative standard model

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• Photon-neutrino interaction inθ-exact covariant noncommutative field theory
• Almost-Commutative Geometry, massive Neutrinos and the Orientability Axiom in KO-Dimension 6