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We describe a new formulation of the functional renormalization group (RG) for interacting fermions within a Wilsonian momentum-shell approach. We show that the Luttinger-Ward functional is a fixed point of the RG, and derive the infinite…

强关联电子 · 物理学 2007-05-23 N. Dupuis

We use renormalization group summed perturbation theory (RGSPT) to improve perturbation series in quantum chromodynamics in the determination of some of the standard model parameters.

高能物理 - 唯象学 · 物理学 2023-11-14 M. S. A. Alam Khan

Entanglement renormalization is a real-space renormalization group (RG) transformation for quantum many-body systems. It generates the multi-scale entanglement renormalization ansatz (MERA), a tensor network capable of efficiently…

强关联电子 · 物理学 2015-06-15 Sukhwinder Singh , Guifre Vidal

We study the singularity of the order parameter at the transition between a critical phase and an ordered phase of bond percolation on pointed hierarchical graphs. In pointed hierarchical graphs, the renormalization group (RG) equation…

统计力学 · 物理学 2018-12-21 Tomoaki Nogawa

The renormalization group (RG) approach is largely responsible for the considerable success that has been achieved in developing a quantitative theory of phase transitions. Physical properties emerge from spectral properties of the…

数学物理 · 物理学 2015-05-14 Mei Yin

First-order phase transitions in many-fermion systems are not detected in the susceptibility analysis of common renormalization-group (RG) approaches. Here we introduce a counterterm technique within the functional renormalization-group…

强关联电子 · 物理学 2007-05-23 R. Gersch , J. Reiss , C. Honerkamp

We apply the renormalized perturbation theory (RPT) to the symmetric Anderson impurity model. Within the RPT framework exact results for physical observables such as the spin and charge susceptibility can be obtained in terms of the…

强关联电子 · 物理学 2015-06-19 Vassilis Pandis

The scheme-dependence of the renormalization group (RG) flow has been investigated in the local potential approximation for two-dimensional periodic, sine-Gordon type field-theoric models discussing the applicability of various functional…

高能物理 - 理论 · 物理学 2009-09-02 I. Nandori , S. Nagy , K. Sailer , A. Trombettoni

The Renormalization Group (RG) is a set of methods that have been instrumental in tackling problems involving an infinite number of degrees of freedom. What all these methods have in common -- which is what explains their success -- is that…

统计力学 · 物理学 2020-04-30 Pedro Pessoa , Ariel Caticha

We present a recently-developed renormalization group scheme, the functional renormalization group (fRG), as a many-particle method suited to account for the two-particle interactions between the electrons in complex quantum dot geometries.…

强关联电子 · 物理学 2007-05-23 C. Karrasch

The renormalization group (RG) in statistical physics focuses on ground-state properties of equilibrium systems. However, it is unclear how it should be generalized to nonunitary quantum dynamics caused by dissipation and measurement…

统计力学 · 物理学 2026-05-12 Atsushi Oyaizu , Hongchao Li , Masaya Nakagawa , Masahito Ueda

A formalism for electronic-structure calculations is presented that is based on the functional renormalization group (FRG). The traditional FRG has been formulated for systems that exhibit a translational symmetry with an associated Fermi…

材料科学 · 物理学 2016-10-12 Christian Seiler , Ferdinand Evers

Renormalisation group (RG) methods provide one of the most important techniques for analysing the physics of many-body systems, both analytically and numerically. By iterating an RG map, which "course-grains" the description of a many-body…

量子物理 · 物理学 2022-12-26 James D. Watson , Emilio Onorati , Toby S. Cubitt

The Renormalization Group (RG) methods are still far from being completely understood in quenched disordered systems. In order to gain insight into the nature of the phase transition of these systems, it is common to investigate simple…

无序系统与神经网络 · 物理学 2014-04-02 Aurélien Decelle , Giorgio Parisi , Jacopo Rocchi

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

The tensor-network renormalization group (TNRG) is an accurate numerical real-space renormalization group method for studying phase transitions in both quantum and classical systems. Continuous phase transitions, as an important class of…

统计力学 · 物理学 2026-03-27 Xinliang Lyu

The Similarity Renormalization Group (SRG) is a continuous series of unitary transformations that can be implemented as a flow equation. When the relative kinetic energy ($\Trel$) is used in the SRG generator, nuclear structure calculations…

核理论 · 物理学 2011-03-22 K. A. Wendt , R. J. Furnstahl , R. J. Perry

The renormalization-group (RG) flow in the finite-temperature (2+1)-dimensional Georgi-Glashow model is explored. This is done in the limit when the squared electric coupling constant is much larger than the mass of the Higgs field. The…

高能物理 - 理论 · 物理学 2007-05-23 Dmitri Antonov

We investigate the second-order R\'enyi entanglement entropy at the quantum critical point of a spin-1/2 antiferromagnetic Heisenberg model on a columnar dimerized square lattice. The universal constant $\gamma$ in the area-law scaling…

统计力学 · 物理学 2026-05-07 Zhiyan Wang , Zhe Wang , Yi-Ming Ding , Zenan Liu , Zheng Yan , Long Zhang

Recent progress in generalized symmetry and topological holography has shown that, in conformal field theory (CFT), topological data from one dimensional higher can play a key role in determining local dynamics. Based on this insight, a…

强关联电子 · 物理学 2025-12-01 Dong-Yu Bao , Gong Cheng , Hong-Hao Song , Zheng-Cheng Gu