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

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

2004-12-08

arxiv.org/abs/hep-th/0412084v4

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, no figures, v4, references added

Scientific paper

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 $\mu_{NC}\sim M_p$. The result $\rho_\Lambda\sim 10^{-6}\Lambda_{SUSY}^8M_p^4/\mu_{NC}^8$ 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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