Abstract
Recently two of the authors proposed a mechanism of vacuum energy sequester as a means of protecting the observable cosmological constant from quantum radiative corrections. The original proposal was based on using global Lagrange multipliers, but later a local formulation was provided. Subsequently other interesting claims of a different non-local approach to the cosmological constant problem were made, based again on global Lagrange multipliers. We examine some of these proposals and find their mutual relationship. We explain that the proposals which do not treat the cosmological constant counterterm as a dynamical variable require fine tunings to have acceptable solutions. Furthermore, the counterterm often needs to be retuned at every order in the loop expansion to cancel the radiative corrections to the cosmological constant, just like in standard GR. These observations are an important reminder of just how the proposal of vacuum energy sequester avoids such problems.
Highlights
JHEP09(2017)074 will never appear as a source of gravity if the tree level cosmological constant does not gravitate
T αα /4 is subtracted from the right-hand side of (1.4) meaning that the hard cosmological constant, be it a classical contribution to L in (1.1) or a quantum vacuum correction calculated to any order in the loop expansion, divergent or finite, never contributes to the field equations (1.4)
The list of proposals for taking on the cosmological constant problem that rely on the imposition of global constraints is growing
Summary
JHEP09(2017)074 will never appear as a source of gravity if the tree level cosmological constant does not gravitate. Along with Einstein’s equations and the cosmological constant counterterm variable, this global geometrical constraint guarantees the dynamical cancellation of vacuum energy loops.
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