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We present a manifestly local and general coordinate invariant formulation ofa nonlocal approach to the cosmological constant problem which has beenrecently proposed by Carroll and Remmen. To do that, we need to introduce atopological term involving a new 3-form gauge field. The equations of motionfor this new 3-form gauge field lead to a constant Lagrange multiplierparameter and the resulting action becomes equivalent to that of Carroll andRemmen. In our formulation, nonlocal informations are encoded via the procedureof taking the space-time average at the stage of the equations of motion.Consequently, our theory evades a no-go theorem by Weinberg and provides a newsolution to the cosmological constant problem in almost exactly the same way asthe original proposal by Carroll et al.

Manifestly Local Formulation of Nonlocal Approach to the Cosmological Constant Problem