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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…

强关联电子 · 物理学 2007-05-23 Carsten Honerkamp

A new generalization of the vector Schwinger model is considered where gauge symmetry is broken at the quantum mechanical level. By proper extension of the phase space this broken symmetry has been restored. Also an equivalent first class…

高能物理 - 理论 · 物理学 2007-05-23 Anisur Rahaman

Functional renormalization group (FRG) is an exact method for taking into account the effect of quantum fluctuations in the effective action of the system. The FRG method applied to effective theories of nuclear matter yields equation of…

高能物理 - 唯象学 · 物理学 2022-12-01 Péter Pósfay , Gergely Gábor Barnaföldi , Antal Jakovác

We study the phase diagram of the half-filled one-dimensional extended Hubbard model at weak coupling using a novel functional renormalization group (FRG) approach. The FRG method includes in a systematic manner the effects of the…

强关联电子 · 物理学 2007-05-23 Ka-Ming Tam , Shan-Wen Tsai , David K. Campbell

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…

统计力学 · 物理学 2023-06-06 Ashley Wilkins , Gerasimos Rigopoulos , Enrico Masoero

We show that the failure of the real-space RG method in the 1D tight-binding model is not intrinsic to the method as considered so far but depends on the choice of boundary conditions. For fixed BC's the failure does happen. For free BC's…

凝聚态物理 · 物理学 2009-10-28 Miguel A. Martin-Delgado , German Sierra

We revisit the critical behavior of classical frustrated systems using the nonperturbative renormalization group (NPRG) equation. Our study is performed within the local potential approximation of this equation to which is added the flow of…

统计力学 · 物理学 2016-04-11 Shunsuke Yabunaka , Bertrand Delamotte

Quantum Chromodynamics in two spacetime dimensions is investigated with the Functional Renormalization Group. We use a functional formulation with covariant gauge fixing and derive Renormalization Group flow equations for the gauge…

高能物理 - 唯象学 · 物理学 2025-05-06 Eric Oevermann , Adrian Koenigstein , Stefan Floerchinger

Functional renormalization group (FRG) methods applied to calculations of isospin-symmetric and asymmetric nuclear matter as well as neutron matter are reviewed. The approach is based on a chiral Lagrangian expressed in terms of nucleon and…

核理论 · 物理学 2017-03-08 Matthias Drews , Wolfram Weise

We reformulate bosonic boundary string field theory in terms of boundary state. In our formulation, we can formally perform the integration of target space equations of motion for arbitrary field configurations without assuming decoupling…

高能物理 - 理论 · 物理学 2010-10-27 Shunsuke Teraguchi

Functional renormalisation group approach is applied to a imbalanced many- fermion system with a short-range attractive force. Composite boson field is introduced to describe the pairing between different flavour fermions. A set of…

量子气体 · 物理学 2015-06-22 Boris Krippa

The critical behavior of the chiral quark-meson model is studied within the Functional Renormalization Group (FRG). We derive the flow equation for the scale dependent thermodynamic potential at finite temperature and density in the…

高能物理 - 唯象学 · 物理学 2014-11-18 B. Stokic , B. Friman , K. Redlich

A renormalization group (RG) analysis of the superconductive instability of an anisotropic fermionic system is developed at a finite temperature. The method appears a natural generalization of Shankar's approach to interacting fermions and…

凝聚态物理 · 物理学 2009-10-28 Fabio Siringo , Giuseppe G. N. Angilella , Renato Pucci

We describe a set of methods to calculate gauge theory renormalization constants from string theory, all based on a consistent prescription to continue off shell open bosonic string amplitudes. We prove the consistency of our prescription…

高能物理 - 理论 · 物理学 2015-06-26 P. Di Vecchia , A. Lerda , L. Magnea , R. Marotta , R. Russo

In an earlier publication, we have introduced a method to obtain, at large N, the effective action for d-dimensional manifolds in a N-dimensional disordered environment. This allowed to obtain the Functional Renormalization Group (FRG)…

无序系统与神经网络 · 物理学 2010-04-05 Pierre Le Doussal , Kay Joerg Wiese

Reentrant computation-recursive self-coupling in which a network continuously reinjects and reinterprets its own internal state-plays a central role in biological cognition but remains poorly characterized in neural network architectures.…

计算物理 · 物理学 2025-12-23 Byung Gyu Chae

We use the functional renormalisation group to study the spectrum of three- and four-body states in bosonic systems around the unitary limit. Our effective action includes all energy-independent contact interactions in the four-atom sector…

量子气体 · 物理学 2015-08-12 Benjamin Jaramillo Avila , Michael C. Birse

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…

强关联电子 · 物理学 2018-06-18 Lisa Markhof , Björn Sbierski , Volker Meden , Christoph Karrasch

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…

高能物理 - 唯象学 · 物理学 2007-05-23 T. Umekawa , K. Naito , M. Oka

We investigate the phase structure of spin-imbalanced unitary Fermi gases beyond mean-field theory by means of the Functional Renormalization Group. In this approach, quantum and thermal fluctuations are resolved in a systematic manner. The…

量子气体 · 物理学 2015-01-26 I. Boettcher , J. Braun , T. K. Herbst , J. M. Pawlowski , D. Roscher , C. Wetterich