# Functional and local renormalization groups

@article{Codello2015FunctionalAL, title={Functional and local renormalization groups}, author={Alessandro Codello and Giulio D’Odorico and Carlo D. Pagani}, journal={Physical Review D}, year={2015}, volume={91}, pages={125016} }

We discuss the relation between functional renormalization group (FRG) and local renormalization group (LRG), focussing on the two dimensional case as an example. We show that away from criticality the Wess-Zumino action is described by a derivative expansion with coefficients naturally related to RG quantities. We then demonstrate that the Weyl consistency conditions derived in the LRG approach are equivalent to the RG equation for the $c$-function available in the FRG scheme. This allows us…

## 8 Citations

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We review past and present results on the non-local form-factors of the effective action of semiclassical gravity in two and four dimensions computed by means of a covariant expansion of the heat…

### Weyl consistency conditions from a local Wilsonian cutoff

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A local UV cutoff $$\Lambda (x)$$
Λ
(
x
)
transforming under Weyl rescalings allows to construct Weyl invariant kinetic terms for scalar fields including Wilsonian cutoff functions. First we…

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### Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. II. Entropy production and irreversibility of RG flows

- PhysicsPhysical Review D
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We demonstrate that the reformulation of renormalization group (RG) ﬂow equations as nonlinear heat equations has severe implications on the understanding of RG ﬂows in general. We demonstrate by…

### Field space parametrization in quantum gravity and the identification of a unitary conformal field theory at the heart of 2D Asymptotic Safety

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In this thesis we investigate various fundamental aspects of asymptotically safe quantum gravity, in particular the compatibility of Asymptotic Safety with the requirements for background…

### Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. III. Shock and rarefaction waves in RG flows reveal limitations of the $N\rightarrow\infty$ limit in $O(N)$-type models

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- 2021

Using an O ( N )-symmetric toy model QFT in zero space-time dimensions we discuss several aspects and limitations of the 1 N -expansion. We demonstrate, how slight modiﬁcations in a classical UV…

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