Cosmological Constant as Vacuum Energy Density of Quantum Field Theories on Noncommutative Spacetime
Abstract
Description
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 $μ_{NC}\sim M_p$. The result $ρ_Λ\sim 10^{-6}Λ_{SUSY}^8M_p^4/μ_{NC}^8$ 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.
7 pages, no figures, v4, references added
7 pages, no figures, v4, references added