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We develop a comprehensive Renormalization Group (RG) approach to criticality in open Floquet systems, where dissipation enables the system to reach a well-defined Floquet steady state of finite entropy, and all observables are synchronized…

Statistical Mechanics · Physics 2020-10-13 Steven Mathey , Sebastian Diehl

Functional renormalization group (FRG) has become a diverse and powerful tool to derive effective low-energy scattering vertices of interacting many-body systems. Starting from a non-interacting expansion point of the action, the flow of…

Strongly Correlated Electrons · Physics 2014-01-22 Johannes Reuther , Ronny Thomale

The critical dynamics of Model H with a conserved order parameter coupled to a transverse momentum density which describes the gas-liquid or binary-fluid transitions is investigated within the functional renormalization group approach…

High Energy Physics - Phenomenology · Physics 2024-10-08 Yong-rui Chen , Yang-yang Tan , Wei-jie Fu

Non-Hermiticity plays a fundamental role in open quantum systems and describes a wide variety of effects of interactions with environments, including quantum measurement. However, understanding its consequences in strongly interacting…

Quantum Physics · Physics 2026-02-10 Hiroyuki Tajima , Masaya Nakagawa , Haozhao Liang , Masahito Ueda

The quantum dynamics of correlated fermionic or bosonic many-body systems following external excitation can be successfully studied using nonequilibrium Green functions (NEGF) or reduced density matrix methods. Approximations are introduced…

Strongly Correlated Electrons · Physics 2023-12-27 Erik Schroedter , Björn Jakob Wurst , Jan-Philip Joost , Michael Bonitz

We investigate the monotonicity of the renormalization group (RG) flow from the perspectives of nonequilibrium thermodynamics. Applying the Martin-Siggia-Rose formalism to the Wilsonian RG transformation, we incorporate the RG flow…

High Energy Physics - Theory · Physics 2023-12-29 Ki-Seok Kim , Shinsei Ryu

In the context of Wilsonian Renormalization, renormalization group (RG) flows are a set of differential equations that defines how the coupling constants of a theory depend on an energy scale. These equations closely resemble…

High Energy Physics - Theory · Physics 2021-06-18 Caio Luiz Tiedt

In this paper we propose a novel method to study critical systems numerically by a combined collective-mode algorithm and Renormalization Group on the lattice. This method is an improved version of MCRG in the sense that it has all the…

Statistical Mechanics · Physics 2009-12-03 G. Palma , D. Zambrano

We introduce a density functional formalism to study the ground-state properties of strongly-correlated dipolar and ionic ultracold bosonic and fermionic gases, based on the self-consistent combination of the weak and the strong coupling…

Percolation theory dictates an intuitive picture depicting correlated regions in complex systems as densely connected clusters. While this picture might be adequate at small scales and apart from criticality, we show that highly correlated…

Disordered Systems and Neural Networks · Physics 2020-12-17 István A. Kovács , Róbert Juhász

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 many systems on the one hand and on the other hand search for…

Statistical Mechanics · Physics 2021-05-10 N. Dupuis , L. Canet , A. Eichhorn , W. Metzner , J. M. Pawlowski , M. Tissier , N. Wschebor

We use a novel real-time formulation of the functional renormalization group (FRG) for dynamical systems with reversible mode couplings to study Model H, the conjectured dynamic universality class of the QCD critical point. We emphasize the…

High Energy Physics - Phenomenology · Physics 2025-02-27 Johannes V. Roth , Yunxin Ye , Sören Schlichting , Lorenz von Smekal

We present a renormalization group (RG) method which allows for an analytical study of the transient dynamics of open quantum systems on all time scales. Whereas oscillation frequencies and decay rates of exponential time evolution follow…

Strongly Correlated Electrons · Physics 2013-05-23 Oleksiy Kashuba , Herbert Schoeller

It is explained how field-theoretic methods and the dynamic renormalisation group (RG) can be applied to study the universal scaling properties of systems that either undergo a continuous phase transition or display generic scale…

Statistical Mechanics · Physics 2011-03-28 Uwe C. Tauber

We recapitulate recent developments of the functional renormalization group (FRG) approach to the steady state of systems out of thermal equilibrium. In particular, we discuss second-order truncation schemes which account for the…

Strongly Correlated Electrons · Physics 2022-12-05 G. Camacho , C. Klöckner , D. M. Kennes , C. Karrasch

The functional renormalization group (FRG) has been used widely to investigate phase diagrams, in particular the one of the two-dimensional Hubbard model. So far, the study of one-dimensional models has not attracted as much attention. We…

Strongly Correlated Electrons · Physics 2018-06-18 Lisa Markhof , Björn Sbierski , Volker Meden , Christoph Karrasch

A nonconventional renormalization-group (RG) treatment close to and below four dimensions is used to explore, in a unified and systematic way, the low-temperature properties of a wide class of systems in the influence domain of their…

Statistical Mechanics · Physics 2009-11-13 M. T. Mercaldo , L. De Cesare , I. Rabuffo , A. Caramico D'Auria

We review recent developments in functional renormalization group (RG) methods for interacting fermions. These approaches aim at obtaining an unbiased picture of competing Fermi liquid instabilities in the low-dimensional models like the…

Strongly Correlated Electrons · Physics 2007-05-23 Carsten Honerkamp

We study, using functional renormalization (FRG), two copies of an elastic system pinned by mutually correlated random potentials. Short scale decorrelation depend on a non trivial boundary layer regime with (possibly multiple) chaos…

Disordered Systems and Neural Networks · Physics 2009-11-11 Pierre Le Doussal

Using one loop functional RG we study two problems of pinned elastic systems away from their equilibrium or steady states. The critical regime of the depinning transition is investigated starting from a flat initial condition. It exhibits…

Disordered Systems and Neural Networks · Physics 2009-11-11 Gregory Schehr , Pierre Le Doussal
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