The nonperturbative functional renormalization group and its applications

N Dupuis, L Canet, A Eichhorn, W Metzner… - Physics Reports, 2021 - Elsevier
The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …

Quantum gravity: a fluctuating point of view

JM Pawlowski, M Reichert - Frontiers in Physics, 2021 - frontiersin.org
In this contribution, we discuss the asymptotic safety scenario for quantum gravity with a
functional renormalization group approach that disentangles dynamical metric fluctuations …

Aspects of the functional renormalisation group

JM Pawlowski - Annals of Physics, 2007 - Elsevier
We discuss structural aspects of the functional renormalisation group. Flows for a general
class of correlation functions are derived, and it is shown how symmetry relations of the …

Introduction to the functional RG and applications to gauge theories

H Gies - Renormalization group and effective field theory …, 2012 - Springer
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Investigating the ultraviolet properties of gravity with a Wilsonian renormalization group equation

A Codello, R Percacci, C Rahmede - Annals of Physics, 2009 - Elsevier
We review and extend in several directions recent results on the “asymptotic safety”
approach to quantum gravity. The central issue in this approach is the search of a Fixed …

Fermion interactions and universal behavior in strongly interacting theories

J Braun - Journal of Physics G: Nuclear and Particle Physics, 2012 - iopscience.iop.org
The theory of the strong interaction, quantum chromodynamics (QCD), describes the
generation of hadronic masses and the state of hadronic matter during the early stages of …

Theory of the weakly interacting Bose gas

JO Andersen - Reviews of modern physics, 2004 - APS
This article reviews recent advances in the theory of the three-dimensional dilute
homogeneous Bose gas at zero and finite temperature. Effective-field-theory methods are …

Further evidence for asymptotic safety of quantum gravity

K Falls, D Litim, K Nikolakopoulos, C Rahmede - Physical Review D, 2016 - APS
The asymptotic safety conjecture is examined for quantum gravity in four dimensions. Using
the renormalization group, we find evidence for an interacting UV fixed point for polynomial …

[HTML][HTML] The phase structure of the Polyakov–quark–meson model beyond mean field

TK Herbst, JM Pawlowski, BJ Schaefer - Physics Letters B, 2011 - Elsevier
The Polyakov-extended quark–meson model (PQM) is investigated beyond mean-field. This
represents an important step towards a fully dynamical QCD computation. Both the quantum …

Asymptotic safety of gravity with matter

N Christiansen, DF Litim, JM Pawlowski, M Reichert - Physical Review D, 2018 - APS
We study the asymptotic safety conjecture for quantum gravity in the presence of matter
fields. A general line of reasoning is put forward explaining why gravitons dominate the high …