A Quantum Gravitational Relaxation of The Cosmological Constant
Stephon Alexander
TL;DR
This paper proposes a non-perturbative mechanism linking the gravitational CP-violating $ heta$ parameter to the cosmological constant, and introduces a gravitational Peccei-Quinn mechanism to dynamically relax it.
Contribution
It explicitly connects the gravitational $ heta$ sector to the cosmological constant and introduces a novel relaxation mechanism via a pseudoscalar coupling.
Findings
The gravitational $ heta$ parameter is non-perturbatively related to the cosmological constant.
A gravitational Peccei-Quinn mechanism can dynamically relax the cosmological constant.
The approach involves a topological $B ext{ extasciicircum}F$ theory and chiral symmetry breaking.
Abstract
Similar to QCD, general relativity has a sector due to large diffeomorphisms. We make explicit, for the first time, that the gravitational CP violating parameter is non-perturbatively related to the cosmological constant. A gravitational pseudoscalar coupling to massive fermions gives rise to general relativity from a topological theory through a chiral symmetry breaking mechanism. We show that a gravitational Peccei-Quinn like mechanism can dynamically relax the cosmological constant.
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