Canonical formulation and path integral for local vacuum energy sequestering

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Authors

BUFALO Rodrigo KLUSOŇ Josef OKSANEN Marku

Year of publication 2016
Type Article in Periodical
Magazine / Source Physical review D
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.1103/PhysRevD.94.044005
Field Theoretical physics
Keywords COSMOLOGICAL-CONSTANT PROBLEM; QUANTUM-FIELD THEORY; UNIMODULAR GRAVITY; EINSTEIN GRAVITY
Description We establish the Hamiltonian analysis and the canonical path integral for a local formulation of vacuum energy sequestering. In particular, by considering the state of the Universe as a superposition of vacuum states corresponding to different values of the cosmological and gravitational constants, the path integral is extended to include integrations over the cosmological and gravitational constants. The result is an extension of the Ng-van Dam form of the path integral of unimodular gravity. It is argued to imply a relation between the fraction of the most likely values of the gravitational and cosmological constants and the average values of the energy density and pressure of matter over spacetime. Finally, we construct and analyze a Becchi-Rouet-Stora-Tyutin-exact formulation of the theory, which can be considered as a topological field theory.
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