Constraining spacetime noncommutativity with primordial nucleosynthesis

2009/01/31 by R. Horvat, Raul Horvat, Josip Trampetić +1 · 39 citations
Physics and Astronomy · #Anisotropy #Astrophysics #Big Bang nucleosynthesis #Black Holes and Theoretical Physics #Cosmic microwave background #Cosmology and Gravitation Theories #Coupling (piping) #Decoupling (probability) #Lambda #Neutrino #Noncommutative and Quantum Gravity Theories #Nuclear physics #Nuclear reaction #Nucleosynthesis #Particle physics #Physics #Quantum mechanics #Universe #astro-ph.CO #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.79.087701

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 79(8) (American Physical Society) · 4 pages, version to appear in PRD

arxiv created 2009/04/01 · openalex publication_date 2009/04/08 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We discuss a constraint on the scale \ensuremathΛ_NC of noncommutative (NC) gauge field theory arising from consideration of the big bang nucleosynthesis of light elements. The propagation of neutrinos in the NC background described by an antisymmetric tensor \ensuremathθ^\ensuremathμ\ensuremathν does result in a tree-level vectorlike coupling to photons in a generation-independent manner, raising thus a possibility to have an appreciable contribution of three light right-handed (RH) fields to the energy density of the Universe at nucleosynthesis time. Considering elastic scattering processes of the RH neutrinos off charged plasma constituents at a given cosmological epoch, we obtain for a conservative limit on an effective number of additional doublet neutrinos \ensuremathΔN_\ensuremathν=1, a bound \ensuremathΛ_NC\ensuremath\gtrsim3 TeV. With a more stringent requirement, \ensuremathΔN_\ensuremathν\ensuremath\lesssim0.2, the bound is considerably improved, \ensuremathΛ_NC\ensuremath\gtrsim10³ TeV. For our bounds the \ensuremathθ expansion of the NC action stays always meaningful, since the decoupling temperature of the RH species is perseveringly much less than the inferred bound for the scale of noncommutativity.

Citations

• K→πγdecays and space-time noncommutativity
• Cosmic abundances of stable particles: Improved analysis
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• The standard model on non-commutative space-time: electroweak currents and the Higgs sector
• Massive neutrino in noncommutative space-time
• Gauge theory on noncommutative spaces
• First‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Determination of Cosmological Parameters
• Quarkonia decays into two photons induced by space-time noncommutativity
• Noncommutative standard model atO(θ2)

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