Cosmological Constant as Vacuum Energy Density of Quantum Field Theories on Noncommutative Spacetime

2004/12/08 by Xiao-Jun Wang, Wang, Xiao-Jun
Physics and Astronomy · #Astrophysics (astro-ph) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #astro-ph #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0412084

7 pages, no figures, v4, references added

arxiv created 2004/12/15 · arxiv updated 2009/12/01

Abstract

We propose a new approach to understand hierarchy problem for cosmological constant in terms of considering noncommutative nature of space-time. We calculate that vacuum energy density of the noncommutative quantum field theories in nontrivial background, which admits a smaller cosmological constant by introducing an higher noncommutative scale μ_NC∼ M_p. The result ρ_Λ∼ 10^-6Λ_SUSY⁸M_p⁴/μ_NC⁸ yields cosmological constant at the order of current observed value for supersymmetry breaking scale at 10TeV. It is the same as Banks' phenomenological formula for cosmological constant.

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