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A Nonlocal Approach to the Cosmological Constant Problem

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arxiv 1703.09715 v3 pith:R3TIUVH6 submitted 2017-03-28 hep-th astro-ph.COhep-ph

A Nonlocal Approach to the Cosmological Constant Problem

classification hep-th astro-ph.COhep-ph
keywords cosmologicalconstantmodelactionconditionnonlocalaccelerationallows
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We construct a model in which the cosmological constant is canceled from the gravitational equations of motion. Our model relies on two key ingredients: a nonlocal constraint on the action, which forces the spacetime average of the Lagrangian density to vanish, and a dynamical way for this condition to be satisfied classically with arbitrary matter content. We implement the former condition with a spatially-constant Lagrange multiplier associated with the volume form and the latter by including a free four-form gauge field strength in the action. These two features are enough to remove the cosmological constant from the Einstein equation. The model is consistent with all cosmological and experimental bounds on modification of gravity and allows for both cosmic inflation and the present epoch of acceleration.

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