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Related papers: Functional RG for imbalanced many-fermion systems

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The functional renormalization group (FRG) approach is a powerful tool for studies of a large variety of systems, ranging from statistical physics over the theory of the strong interaction to gravity. The practical application of this…

Fluctuations are included in a chiral nucleon-meson model within the framework of the functional renormalization group. The model, with parameters fitted to reproduce the nuclear liquid-gas phase transition, is used to study the phase…

Nuclear Theory · Physics 2015-06-16 Matthias Drews , Thomas Hell , Bertram Klein , Wolfram Weise

We present an alternative functional renormalization group (fRG) approach to the single-impurity Anderson model at finite temperatures. Starting with the exact self-energy and interaction vertex of a small system ('core') containing a…

Strongly Correlated Electrons · Physics 2013-01-11 Michael Kinza , Jutta Ortloff , Johannes Bauer , Carsten Honerkamp

We present a renormalization group (RG) procedure which works naturally on a wide class of interacting one-dimension models based on perturbed (possibly strongly) continuum conformal and integrable models. This procedure integrates Kenneth…

Strongly Correlated Electrons · Physics 2016-07-05 Robert M. Konik , Yury Adamov

A recently proposed renormalization group technique, based on the hierarchical structures present in theories with fluctuating geometry, is implemented in the model of branched polymers. The renormalization group equations can be solved…

High Energy Physics - Lattice · Physics 2009-10-28 Jan Ambjorn , Piotr Bialas , Jerzy Jurkiewicz

Turbulence is a complex nonlinear and multi-scale phenomenon. Although the fundamental underlying Navier-Stokes equations have been known for two centuries, it remains extremely challenging to extract from them the statistical properties of…

Fluid Dynamics · Physics 2023-01-09 Léonie Canet

Influence of short-range four-fermion interactions on quadratic and cubic nodal line fermion systems is studied by renormalization group theory. It is found that arbitrarily weak four-fermion interaction could drive quadratic or cubic nodal…

Strongly Correlated Electrons · Physics 2021-02-19 Jing-Rong Wang , Wei Li , Chang-Jin Zhang

We investigate the effect of an isospin chemical potential ($\mu_{I}$) within the quark-meson model, which approximates quantum chromodynamics (QCD) by modeling low energy phenomena such as chiral symmetry breaking and phase structure under…

High Energy Physics - Phenomenology · Physics 2026-03-24 Mohammed Osman , Defu Hou , Wentao Wang , Hui Zhang

We apply a recently developed functional renormalization group (fRG) scheme for quantum spin systems to the spin-1/2 antiferromagnetic XXZ model on a two-dimensional square lattice. Based on an auxiliary fermion representation we derive…

Strongly Correlated Electrons · Physics 2013-01-14 Stefan Göttel , Sabine Andergassen , Carsten Honerkamp , Dirk Schuricht , Stefan Wessel

Functional conjugation methods are used to analyze the global structure of various renormalization group trajectories, and to gain insight into the interplay between continuous and discrete rescaling. With minimal assumptions, the methods…

High Energy Physics - Theory · Physics 2011-03-21 Thomas L. Curtright , Cosmas K. Zachos

We use renormalization group (RG) analysis and dimensional regularization techniques to study potential superconductivity-inducing four-fermion interactions in systems with critical Fermi surfaces of general dimensions ($m$) and…

Strongly Correlated Electrons · Physics 2024-03-01 Ipsita Mandal

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

Motivated by recent developments on cold atom traps and high density QCD we consider fermionic systems composed of two particle species with different densities. We argue that a mixed phase composed of normal and superfluid components is…

Condensed Matter · Physics 2014-10-13 Paulo F. Bedaque , Heron Caldas , Gautam Rupak

We compare two fermionic renormalization group methods which have been used to investigate the electronic transport properties of one-dimensional metals with two-particle interaction (Luttinger liquids) and local inhomogeneities. The first…

Strongly Correlated Electrons · Physics 2008-05-02 V. Meden , S. Andergassen , T. Enss , H. Schoeller , K. Schoenhammer

We derive a novel computational scheme for functional Renormalization Group (fRG) calculations for interacting fermions on 2D lattices. The scheme is based on the exchange parametrization fRG for the two-fermion interaction, with additional…

Strongly Correlated Electrons · Physics 2017-03-08 J. Lichtenstein , D. Sánchez de la Peña , D. Rohe , E. Di Napoli , C. Honerkamp , S. A. Maier

The Wilsonian renormalization group (RG) method is applied to finite temperature systems for the study of non-perturbative methods in the field theory. We choose the O(N) linear sigma model as the first step. Under the local potential…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Umekawa , K. Naito , M. Oka

Renormalization group methods are used to study the low-energy behavior of the unscreened Coulomb interaction in a one-dimensional electron system. By applying a GW approximation, a strong wavefunction renormalization is found in the model,…

Strongly Correlated Electrons · Physics 2007-05-23 S. Bellucci , J. Gonzalez

We study a 1D Fermi gas with attractive short range-interactions in a disordered potential by the density matrix renormalization group (DMRG) technique. This setting can be implemented experimentally by using cold atom techniques. We…

Quantum Gases · Physics 2012-02-29 Masaki Tezuka , Antonio M. Garcia-Garcia

We derive an efficient method for treating renormalization contributions at two-loop level within the functional renormalization group in the one-particle irreducible formalism for fermions. It is based on a decomposition of the…

Strongly Correlated Electrons · Physics 2014-09-16 Andreas Eberlein

We review the rigorous work on many Fermions models which lead to the first constructions of interacting Fermi liquids in two dimensions, and allowed to prove that there are different scaling regimes in two dimensions, depending on the…

Mathematical Physics · Physics 2011-02-28 Vincent Rivasseau