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 …

Nature of the Schmid transition in a resistively shunted Josephson junction

R Daviet, N Dupuis - Physical Review B, 2023 - APS
We study the phase diagram of a resistively shunted Josephson junction (RSJJ) in the
framework of the boundary sine-Gordon model. Using the nonperturbative functional …

Approach to the lower critical dimension of the theory in the derivative expansion of the functional renormalization group

LN Farkaš, G Tarjus, I Balog - Physical Review E, 2023 - APS
We revisit the approach to the lower critical dimension d lc in the Ising-like φ 4 theory within
the functional renormalization group by studying the lowest approximation levels in the …

Physical properties of the massive Schwinger model from the nonperturbative functional renormalization group

P Jentsch, R Daviet, N Dupuis, S Floerchinger - Physical Review D, 2022 - APS
We investigate the massive Schwinger model in d= 1+ 1 dimensions using bosonization and
the nonperturbative functional renormalization group. In agreement with previous studies we …

Note on scaling arguments in the effective average action formalism

C Pagani - Physical Review D, 2016 - APS
The effective average action (EAA) is a scale-dependent effective action where a scale k is
introduced via an infrared regulator. The k dependence of the EAA is governed by an exact …

Functional renormalization group with a compactly supported smooth regulator function

I Nándori - Journal of High Energy Physics, 2013 - Springer
A bstract The functional renormalization group equation with a compactly supported smooth
(CSS) regulator function is considered. It is demonstrated that in an appropriate limit the …

Truncation effects in the functional renormalization group study of spontaneous symmetry breaking

N Defenu, P Mati, IG Marian, I Nandori… - Journal of High Energy …, 2015 - Springer
A bstract We study the occurrence of spontaneous symmetry breaking (SSB) for O (N)
models using functional renormalization group techniques. We show that even the local …

Vanishing beta function curves from the functional renormalization group

P Mati - Physical Review D, 2015 - APS
In this paper we will discuss the derivation of the so-called vanishing beta function curves
which can be used to explore the fixed point structure of the theory under consideration. This …

Perturbative versus non-perturbative renormalization

S Hariharakrishnan, UD Jentschura… - Journal of Physics G …, 2024 - iopscience.iop.org
Approximated functional renormalization group (FRG) equations lead to regulator-
dependent beta-functions, in analogy to the scheme-dependence of the perturbative …

Optimization and Stabilization of Functional Renormalization Group Flows

N Zorbach, J Stoll, J Braun - arXiv preprint arXiv:2401.12854, 2024 - arxiv.org
We revisit optimization of functional renormalization group flows by analyzing regularized
loop integrals. This leads us to a principle, the Principle of Strongest Singularity, and a …