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Off-shell divergences in quantum gravity
Vlad-Mihai Mandric, Tim R. Morris, Dalius Stulga
We investigate off-shell perturbative renormalisation of pure quantum gravity for both background metric and quantum fluctuations. We show that at each new loop order, the divergen…
Universal scaling dimensions for highly irrelevant operators in the Local Potential Approximation
Vlad-Mihai Mandric, Tim R. Morris, Dalius Stulga
We study -dimensional scalar field theory in the Local Potential Approximation of the functional renormalization group. Sturm-Liouville methods allow the eigenoperator equation…
The functional approximation
Tim R. Morris, Dalius Stulga
This article is a review of functional approximations in the asymptotic safety approach to quantum gravity. It mostly focusses on a formulation that uses a non-adaptive cuto…
Properties of a proposed background independent exact renormalization group
Vlad-Mihai Mandric, Tim R. Morris
We explore the properties of a recently proposed background independent exact renormalization group approach to gauge theories and gravity. In the process we also develop the machi…
Properties of the linearised functional renormalization group
Tim R. Morris
Interactions growing slower than a certain exponential of the square of a scalar field, are well behaved when evolved under the functional renormalization group linearised around t…
Provable properties of asymptotic safety in approximation
Alex Mitchell, Tim R. Morris, Dalius Stulga
We study an approximation to asymptotic safety, using a family of non-adaptive cutoffs, kept general to test for universality. Matching solutions on the four-dimensional sph…