Conformally reduced quantum gravity revisited

Abstract

Applying functional renormalization group methods, we describe two inequivalent ways of defining the renormalization group of matter-coupled four dimensional gravity, in the approximation where only the conformal factor is dynamical and taking the trace anomaly explicitly into account. We make contact with earlier work and briefly discuss the presence or absence of fixed points, depending on the truncation of the action and other approximations.

24 pages

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• The Renormalization Group and Weyl-invariance
• Background independence in a background dependent renormalization group
• Inflationary solutions in asymptotically safe f(R) theories
• Fixed-Functionals of three-dimensional Quantum Einstein Gravity
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• Fixed point structure of the conformal factor field in quantum gravity
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• Infinite order quantum-gravitational correlations
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• Constraining the Asymptotically Safe Cosmology: cosmic acceleration without dark energy
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• The unitary conformal field theory behind 2D Asymptotic Safety
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• Asymptotically Safe gravity and non-singular inflationary Big Bang with vacuum birth
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• Conformal anomaly from gauge fields without gauge fixing
• On the ultraviolet behavior of conformally reduced quadratic gravity
• Bare vs. Effective Fixed Point Action in Asymptotic Safety: The Reconstruction Problem
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• Thermal RG Flow of AS Quantum Gravity
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• Higher-derivative four-dimensional sine-Gordon model
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