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The phase structure of the bosonized multi-flavor Schwinger model is investigated by means of the differential renormalization group (RG) method. In the limit of small fermion mass the linearized RG flow is sufficient to determine the…

High Energy Physics - Theory · Physics 2008-11-26 I. Nandori

By using the density matrix renormalization group and mean field methods, the anyon Hubbard model is studied systematically on a one dimensional lattice. The model can be expressed as a Bose-Hubbard model with a density-dependent-phase…

Quantum Gases · Physics 2016-03-11 Wanzhou Zhang , Ernv Fan , Tony C Scott , Yunbo Zhang

We study theoretically the phase diagram of strongly coupled two-dimensional Bose-Fermi mixtures interacting with attractive short-range potentials as a function of the particle densities. We focus on the limit where the size of the bound…

Quantum Gases · Physics 2023-05-31 Jonas von Milczewski , Félix Rose , Richard Schmidt

We propose a density matrix renormalization group approach to tackle a two-state system coupled to a bosonic bath with continuous spectrum. In this approach, the optimized phonon scheme is applied to several hundred phonon modes which are…

Strongly Correlated Electrons · Physics 2008-05-31 Hang Wong , Zhi-De Chen

We put forward the first analysis of renormalization group flows in an area-metric theory, motivated by spin-foam quantum gravity. Area-metric gravity contains the well-known length-metric degrees of freedom of standard gravity as well as…

General Relativity and Quantum Cosmology · Physics 2025-07-04 Johanna Borissova , Bianca Dittrich , Astrid Eichhorn , Marc Schiffer

We consider a one-dimensional system of interacting bosons in a random potential. At zero temperature, it can be either in the superfluid or in the insulating phase. We study the transition at weak disorder and moderate interaction. Using a…

Fermionic gradient flow in combination with the short-flow-time expansion provides a computational method where the renormalisation of hadronic matrix elements on the lattice can be simplified to address e.g. the issue that operators with…

High Energy Physics - Lattice · Physics 2024-12-02 Matthew Black , Robert Harlander , Fabian Lange , Antonio Rago , Andrea Shindler , Oliver Witzel

The renormalization group method is a successive integration over the fluctuations which are ordered according to their length scale, a parameter in the external space. A different procedure is described, where the fluctuations are treated…

High Energy Physics - Theory · Physics 2007-05-23 Jean Alexandre , Janos Polonyi

In this paper we propose a method to study the Functional Renormalization Group at finite chemical potential. The method consists of mapping the FRG equations within the Fermi surface into a differential equation defined on a rectangle with…

High Energy Physics - Theory · Physics 2017-01-11 G. G. Barnafoldi , A. Jakovac , P. Posfay

Using the recently introduced multiloop extension of the functional renormalization group, we compute the frequency- and momentum-dependent self-energy of the two-dimensional Hubbard model at half filling and weak coupling. We show that, in…

Strongly Correlated Electrons · Physics 2020-07-16 Cornelia Hille , Daniel Rohe , Carsten Honerkamp , Sabine Andergassen

Many quantum mechanical problems (such as dissipative phase fluctuations in metallic and superconducting nanocircuits, or impurity scattering in Luttinger liquids) involve a continuum of bosonic modes with a marginal spectral density…

Strongly Correlated Electrons · Physics 2011-11-07 Axel Freyn , Serge Florens

Magnetic catalysis describes the enhancement of symmetry breaking quantum fluctuations in chirally symmetric quantum field theories by the coupling of fermionic degrees of freedom to a magnetic background configuration. We use the…

Strongly Correlated Electrons · Physics 2012-06-29 Daniel D. Scherer , Holger Gies

We discuss structural aspects of the functional renormalisation group. Flows for a general class of correlation functions are derived, and it is shown how symmetry relations of the underlying theory are lifted to the regularised theory. A…

High Energy Physics - Theory · Physics 2010-04-06 Jan M. Pawlowski

We compare and discuss the dependence of a polynomial truncation of the effective potential used to solve exact renormalization group flow equation for a model with fermionic interaction (linear sigma model) with a grid solution. The…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. Papp , B. -J. Schaefer , H. -J. Pirner , J. Wambach

The functional renormalization group flow of a scalar field theory with quartic couplings and a sharp spatial momentum cutoff is presented in four-dimensional Minkowski space-time for the bare action by retaining the entanglement of the IR…

High Energy Physics - Theory · Physics 2022-02-16 S. Nagy , J. Polonyi

We derive constraints on renormalization group (RG) flows and stability of phases in nonequilibrium systems using quantum information inequalities. These constraints involve conditional mutual information (CMI), which quantifies…

Statistical Mechanics · Physics 2026-02-06 Yu-Hsueh Chen , Tarun Grover

We consider the current correlation function for a three-dimensional system of fermions embedded in a homogeneous background and mutually interacting via an attractive short-range potential, below the (superconducting) critical temperature.…

Superconductivity · Physics 2009-11-10 N. Andrenacci , P. Pieri , G. C. Strinati

We show an application of the Wilson Renormalization Group (RG) method to a SU(2 ) gauge field theory in interaction with a massive fermionic doublet. By choosing suitable boundary conditions to the RG equation, i.e. by requiring the…

High Energy Physics - Theory · Physics 2007-05-23 S. Arnone , A. Panza

We study the renormalization group flow of $\mathbb{Z}_2$-invariant supersymmetric and non-supersymmetric scalar models in the local potential approximation using functional renormalization group methods. We focus our attention to the fixed…

High Energy Physics - Theory · Physics 2015-10-28 Tobias Hellwig , Andreas Wipf , Omar Zanusso

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
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