Precision calculation of universal amplitude ratios in O() universality classes: Derivative expansion results at order

G De Polsi, G Hernández-Chifflet, N Wschebor - Physical Review E, 2021 - APS
In the last few years the derivative expansion of the nonperturbative renormalization group
has proven to be a very efficient tool for the precise computation of critical quantities. In …

Gentle introduction to rigorous Renormalization Group: a worked fermionic example

A Giuliani, V Mastropietro, S Rychkov - Journal of High Energy Physics, 2021 - Springer
A bstract Much of our understanding of critical phenomena is based on the notion of
Renormalization Group (RG), but the actual determination of its fixed points is usually based …

Conformal invariance and composite operators: A strategy for improving the derivative expansion of the nonperturbative renormalization group

B Delamotte, G De Polsi, M Tissier, N Wschebor - Physical Review E, 2024 - APS
It is expected that conformal symmetry is an emergent property of many systems at their
critical point. This imposes strong constraints on the critical behavior of a given system …

Critical phenomena in compressible polar active fluids: Dynamical and functional renormalization group studies

P Jentsch, CF Lee - Physical Review Research, 2023 - APS
Active matter is not only relevant to living matter and diverse nonequilibrium systems, but
also constitutes a fertile ground for novel physics. Indeed, dynamic renormalization group …

Regulator dependence in the functional renormalization group: A quantitative explanation

G De Polsi, N Wschebor - Physical Review E, 2022 - APS
The search for controlled approximations to study strongly coupled systems remains a very
general open problem. Wilson's renormalization group has shown to be an ideal framework …

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 …

Operator product expansion coefficients from the nonperturbative functional renormalization group

F Rose, C Pagani, N Dupuis - Physical Review D, 2022 - APS
Using the nonperturbative functional renormalization group (FRG) within the Blaizot-Méndez-
Galain-Wschebor approximation, we compute the operator product expansion (OPE) …

Exact solutions and residual regulator dependence in functional renormalisation group flows

B Knorr - Journal of Physics A: Mathematical and Theoretical, 2021 - iopscience.iop.org
We construct exact solutions to the functional renormalisation group equation of the O (N)
model and the Gross–Neveu model at large N for 2< d< 4, without specifying the form of the …

Stability of the Fulde-Ferrell-Larkin-Ovchinnikov states in anisotropic systems and critical behavior at thermal -axial Lifshitz points

P Zdybel, M Homenda, A Chlebicki, P Jakubczyk - Physical Review A, 2021 - APS
We revisit the question concerning the stability of nonuniform superfluid states of the Fulde-
Ferrell-Larkin-Ovchinnikov (FFLO) type to thermal and quantum fluctuations. On general …

Limit of vanishing regulator in the functional renormalization group

A Baldazzi, R Percacci, L Zambelli - Physical Review D, 2021 - APS
The nonperturbative functional renormalization group equation depends on the choice of a
regulator function, whose main properties are a “coarse-graining scale” k and an overall …