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We consider the classical O(N)-symmetric models confined in a d-dimensional slab-like geometry and subject to periodic boundary conditions. Applying the one-particle-irreducible variant of functional renormalization group (RG) we compute…

Statistical Mechanics · Physics 2013-09-25 Pawel Jakubczyk , Marek Napiorkowski

We study the critical properties of the weakly disordered $p$-component random Heisenberg ferromagnet. It is shown that if the specific heat critical exponent of the pure system is positive, the traditional renormalization group (RG) flows…

Condensed Matter · Physics 2009-10-22 Viktor Dotsenko , A. B. Harris , David Sherrington , R. B. Stinchcombe

We numerically investigate the stationary and non-equilibrium critical dynamics in three-dimensional isotropic Heisenberg antiferromagnets. Since the non-conserved staggered magnetization couples dynamically to the conserved magnetization…

Statistical Mechanics · Physics 2019-02-27 Riya Nandi , Uwe C. Täuber

Using functional renormalization group methods, we study an effective low-energy model describing the Ising-nematic quantum critical point in two-dimensional metals. We treat both gapless fermionic and bosonic degrees of freedom on equal…

Strongly Correlated Electrons · Physics 2012-06-25 Casper Drukier , Lorenz Bartosch , Aldo Isidori , Peter Kopietz

We introduce an equilibrium formulation of the functional renormalization group (fRG) for inhomogeneous systems capable of dealing with spatially finite-ranged interactions. In the general third order truncated form of fRG, the dependence…

Strongly Correlated Electrons · Physics 2017-01-17 Lukas Weidinger , Florian Bauer , Jan von Delft

A general strategy is formulated for computing bound state spectra in the framework of functional renormalisation group (FRG). Dynamical "coordinates" characterising bound states are introduced as coupling parameters in the $n$-point…

High Energy Physics - Theory · Physics 2020-07-07 A. Jakovác , A. Patkós

This thesis comprises two parts centered around the functional renormalization-group framework: in the first part, I study the role of symmetries and conservation laws in approximate solutions, while in the second part I analyze Friedel…

Strongly Correlated Electrons · Physics 2007-05-23 Tilman Enss

We investigate the RG-time integration of the effective potential in the functional renormalization group in the presence of spontaneous symmetry breaking and its subsequent convexity restoration on the example of a scalar theory in $d=3$.…

High Energy Physics - Theory · Physics 2023-06-21 Friederike Ihssen , Franz R. Sattler , Nicolas Wink

We study the critical behavior of the $O(n)$ model under steady shear flow using a dynamical renormalization group (RG) method. Incorporating the strong anisotropy in scaling ansatz, which has been neglected in earlier RG analyses, we…

Statistical Mechanics · Physics 2026-05-20 Harukuni Ikeda , Hiroyoshi Nakano

We calculate spectral functions of the relativistic $O(4)$ model from real-time lattice simulations in classical-statistical field theory. While in the low and high temperature phase of the model, the spectral functions of longitudinal…

High Energy Physics - Lattice · Physics 2019-12-05 Sören Schlichting , Dominik Smith , Lorenz von Smekal

We apply the nonperturbative functional renormalization group (NP-FRG) in the superfield formalism that we have developed in the preceding paper to study long-standing issues concerning the critical behavior of the random field Ising model.…

Statistical Mechanics · Physics 2013-05-30 Matthieu Tissier , Gilles Tarjus

We show that it is possible to use dimensional regularization (DR) beyond the usual $\varepsilon$-expansion in the context of renormalization group (RG) calculations in Critical Phenomena. Based on this fact, we propose a new functional RG…

High Energy Physics - Theory · Physics 2026-04-29 P. Beretta , A. Codello

We explore the possibilities of using the fermionic functional renormalization group to compute the phase diagram of systems with competing instabilities. In order to overcome the ubiquituous divergences encountered in RG flows, we propose…

Strongly Correlated Electrons · Physics 2009-11-30 M. Ossadnik , C. Honerkamp

We work out the basic analysis of dynamics near QCD critical point (CP) by dynamic renormalization group (RG). In addition to the RG analysis by coarse graining, we construct the nonlinear Langevin equation as a basic equation for the…

High Energy Physics - Phenomenology · Physics 2015-03-19 Yuki Minami

We apply the functional Renormalisation Group (fRG) to study relaxation in a stochastic process governed by an overdamped Langevin equation with one degree of freedom, exploiting the connection with supersymmetric quantum mechanics in…

Statistical Mechanics · Physics 2023-06-06 Ashley Wilkins , Gerasimos Rigopoulos , Enrico Masoero

We apply pseudo-spectral methods to construct global solutions of functional renormalisation group equations in field space to high accuracy. For this, we introduce a basis to resolve both finite as well as asymptotic regions of effective…

High Energy Physics - Theory · Physics 2015-09-03 Julia Borchardt , Benjamin Knorr

We investigate the phase diagram of a one-dimensional dissipative Bose-Hubbard model using the nonperturbative functional renormalization group (FRG). Each lattice site is coupled to an independent bath, generating long-range temporal…

Quantum Gases · Physics 2026-05-05 Oscar Bouverot-Dupuis , Vincent Grison , Nicolas Paris

We present results for in-medium spectral functions obtained within the Functional Renormalization Group framework. The analytic continuation from imaginary to real time is performed in a well-defined way on the level of the flow equations.…

High Energy Physics - Phenomenology · Physics 2017-12-07 Jochen Wambach , Christopher Jung , Fabian Rennecke , Ralf-Arno Tripolt , Lorenz von Smekal

We calculate the dynamical spin-spin correlation functions of a Kondo dot coupled to two noninteracting leads held at different chemical potentials. To this end we generalize a recently developed real-time renormalization group method in…

Strongly Correlated Electrons · Physics 2013-01-11 Dirk Schuricht , Herbert Schoeller

We combine two non-perturbative approaches, one based on the two-particle-irreducible (2PI) action, the other on the functional renormalization group (fRG), in an effort to develop new non-perturbative approximations for the field…

High Energy Physics - Theory · Physics 2021-07-14 Jean-Paul Blaizot , Jan M. Pawlowski , Urko Reinosa