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.

arXiv comment7 pages, no figures, v4, references added

References in corpus (6)

• Noncommutative Field Theory
• Noncommutative Perturbative Dynamics
• Cosmological Breaking of Supersymmetry?
• The One-loop UV Divergent Structure of U(1) Yang-Mills Theory on Noncommutative R^4
• Discrete Symmetries (C,P,T) in Noncommutative Field Theories
• A New Approach to the Phenomenology of Cosmological Supersymmetry Breaking

Cited by in corpus (1)

• Noncommutativity in quantum cosmology and the Hierarchy problem