How Low Can Vacuum Energy Go When Your Fields Are Finite-Dimensional?
arXiv:1905.11199 · doi:10.1142/S0218271819440061
Abstract
According to the holographic bound, there is only a finite density of degrees of freedom in space when gravity is taken into account. Conventional quantum field theory does not conform to this bound, since in this framework, infinitely many degrees of freedom may be localized to any given region of space. In this paper, we explore the viewpoint that quantum field theory may emerge from an underlying theory that is locally finite-dimensional, and we construct a locally finite-dimensional version of a Klein-Gordon scalar field using generalized Clifford algebras. Demanding that the finite-dimensional field operators obey a suitable version of the canonical commutation relations makes this construction essentially unique. We then find that enforcing local finite dimensionality in a holographically consistent way leads to a huge suppression of the quantum contribution to vacuum energy, to the point that the theoretical prediction becomes plausibly consistent with observations.
arXiv commentEssay written for the Gravity Research Foundation 2019 Awards for Essays on Gravitation
References in corpus (13)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- The World as a Hologram
- Effective Field Theory, Black Holes, and the Cosmological Constant
- A Covariant Entropy Conjecture
- Probable Values of the Cosmological Constant in a Holographic Theory
- Disturbing Implications of a Cosmological Constant
- Cosmological Breaking of Supersymmetry?
- M-Theory as a Holographic Field Theory
- De Sitter Holography with a Finite Number of States
- The Hilbert Space of Quantum Gravity Is Locally Finite-Dimensional
- The Holographic Entropy Bound and Local Quantum Field Theory
- Holographic entropy bound from gravitational Fock space truncation