Nonperturbative Evolution Equation for Quantum Gravity

Details Nonperturbative Evolution Equation for Quantum Gravity Nonperturbative Evolution Equation for Quantum Gravity

1996-05-06

arxiv.org/abs/hep-th/9605030v1

Phys.Rev. D57 (1998) 971-985

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, latex

Scientific paper

10.1103/PhysRevD.57.971

A scale--dependent effective action for gravity is introduced and an exact nonperturbative evolution equation is derived which governs its renormalization group flow. It is invariant under general coordinate transformations and satisfies modified BRS Ward--Identities. The evolution equation is solved for a simple truncation of the space of actions. In 2+epsilon dimensions, nonperturbative corrections to the beta--function of Newton's constant are derived and its dependence on the cosmological constant is investigated. In 4 dimensions, Einstein gravity is found to be ``antiscreening'', i.e., Newton's constant increases at large distances.

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