Topological Features of the Quantum Vacuum
arXiv:1810.02159 · doi:10.1103/PhysRevD.101.024058
Abstract
A central aspect of the cosmological constant problem is to understand why vacuum energy does not gravitate. In order to account for this observation, while allowing for nontrivial dynamics of the quantum vacuum, we motivate a novel background independent theory of gravity. The theory is an extension of unimodular gravity that is described in geometric terms by means of a conformal (light-cone) structure and differential forms of degree one and two. We show that the subset of the classical field equations describing the dynamics of matter degrees of freedom and the conformal structure of spacetime are equivalent to that of unimodular gravity. The sector with vanishing matter fields and flat conformal structure is governed by the field equations of BF theory and contains topological invariants that are influenced by quantum vacuum fluctuations. Perturbative deviations from this sector lead to classical solutions that necessarily display relatively small values of the cosmological constant with respect to the would-be contribution of quantum vacuum fluctuations. This feature that goes beyond general relativity (and unimodular gravity) offers an interpretation of the smallness of the currently observed cosmological constant.
7 double-column pages + references, no figures
References in corpus (18)
- Transverse Fierz-Pauli symmetry
- Dynamic vacuum variable and equilibrium approach in cosmology
- Vacuum Energy Sequestering: The Framework and Its Cosmological Consequences
- Gluonic vacuum, q-theory, and the cosmological constant
- Dark energy from quantum gravity discreteness
- The path integral of unimodular gravity
- Cosmological Constant from the Emergent Gravity Perspective
- gravity
- Longitudinal diffeomorphisms obstruct the protection of vacuum energy
- Vacuum Energy: Myths and Reality
- A microscopic model for an emergent cosmological constant
- Cosmological constant and vacuum energy
- Weyl relativity: A novel approach to Weyl's ideas
- What do gravitons say about (unimodular) gravity?
- Equilibrium boundary conditions, dynamic vacuum energy, and the Big Bang
- BRS structure of Simple Model of Cosmological Constant and Cosmology
- Sequestering Mechanism in Scalar-Tensor Gravity
- Topological Gravity motivated by Renormalization Group
Cited by in corpus (11)
- Unimodular Gravity vs General Relativity: A status report
- Losing the trace to find dynamical Newton or Planck constants
- Noether charge formalism for Weyl invariant theories of gravity
- Noether charge formalism for Weyl transverse gravity
- Chiral Symmetry and the Cosmological Constant
- Thermodynamics as a tool for (quantum) gravitational dynamics
- Black hole and cosmological analysis of BF sequestered gravity
- Nonexistence of a parent theory for general relativity and unimodular gravity
- Quantum-vacuum-protected topological edge polaritons
- Dynamical Henneaux-Teitelboim Gravity
- Categorical generalization of BF theory coupled to gravity