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

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 ${\mu }_{NC}\sim M_p$. The result ${\rho }_{\Lambda }\sim 10^{-6}{\Lambda }_{SUSY}^8{M}_p^4/{\mu }_{NC}^8$ 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.

7 pages, no figures, v4, references added

References in corpus (1)

• A New Approach to the Phenomenology of Cosmological Supersymmetry Breaking