Manifestly diffeomorphism invariant classical Exact Renormalization Group
Feb 29, 2016Citations per year
Abstract: (Springer)
We construct a manifestly diffeomorphism invariant Wilsonian (Exact) Renor-malization Group for classical gravity, and begin the construction for quantum gravity. We demonstrate that the effective action can be computed without gauge fixing the diffeo-morphism invariance, and also without introducing a background space-time. We compute classical contributions both within a background-independent framework and by perturbing around a fixed background, and verify that the results are equivalent. We derive the exact Ward identities for actions and kernels and verify consistency. We formulate two forms of the flow equation corresponding to the two choices of classical fixed-point: the Gaussian fixed point, and the scale invariant interacting fixed point using curvature-squared terms. We suggest how this programme may completed to a fully quantum construction.Note:
- 50 pages, 2 figures, minor typos fixed, minor additions to the Discussion, one reference added
- Renormalization Group
- Space-Time Symmetries
- Classical Theories of Gravity
- Models of Quantum Gravity
- diffeomorphism: invariance
- gravitation: classical
- space-time: background
- fixed point
- renormalization group
- effective action
References(79)
Figures(2)
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