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 …

[HTML][HTML] Critical casimir effect: Exact results

DM Dantchev, S Dietrich - Physics Reports, 2023 - Elsevier
In any medium there are fluctuations due to temperature or due to the quantum nature of its
constituents. If a material body is immersed into such a medium, its shape and the properties …

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 …

Critical Casimir forces in soft matter

A Gambassi, S Dietrich - Soft Matter, 2024 - pubs.rsc.org
We review recent advances in the theoretical, numerical, and experimental studies of critical
Casimir forces in soft matter, with particular emphasis on their relevance for the structures of …

Multiparameter universality and intrinsic diversity of critical phenomena in weakly anisotropic systems

V Dohm - Physical Review E, 2023 - APS
Recently a unified hypothesis of multiparameter universality for the critical behavior of bulk
and confined anisotropic systems has been formulated [V. Dohm, Phys. Rev. E 97, 062128 …

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) …

Tan's two-body contact in a planar bose gas: Experiment versus theory

A Rançon, N Dupuis - Physical Review Letters, 2023 - APS
We determine the two-body contact in a planar Bose gas confined by a transverse harmonic
potential, using the nonperturbative functional renormalization group. We use the three …

Statistical field theory with constraints: Application to critical Casimir forces in the canonical ensemble

M Gross, A Gambassi, S Dietrich - Physical Review E, 2017 - APS
The effect of imposing a constraint on a fluctuating scalar order parameter field in a system
of finite volume is studied within statistical field theory. The canonical ensemble …

Nonperturbative functional renormalization-group approach to transport in the vicinity of a -dimensional O()-symmetric quantum critical point

F Rose, N Dupuis - Physical Review B, 2017 - APS
Using a nonperturbative functional renormalization-group approach to the two-dimensional
quantum O (N) model, we compute the low-frequency limit ω→ 0 of the zero-temperature …

-symmetric perturbations to the model from functional renormalization

A Chlebicki, CA Sánchez-Villalobos, P Jakubczyk… - Physical Review E, 2022 - APS
We employ the second order of the derivative expansion of the nonperturbative
renormalization group to study cubic (Z 4-symmetric) perturbations to the classical XY model …