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Although substantial progress has been achieved in solving quantum impurity problems, the numerical renormalization group (NRG) method generally performs poorly when applied to quantum lattice systems in a real-space blocking form. The…

Strongly Correlated Electrons · Physics 2018-09-03 Li-Xiang Cen

We introduce a strong-disorder renormalization group (RG) approach suitable for investigating the quasiparticle excitations of disordered superconductors in which the quasiparticle spin is not conserved. We analyze one-dimensional models…

Superconductivity · Physics 2009-10-31 Olexei Motrunich , Kedar Damle , David A. Huse

We explore the universal signatures of quantum phase transitions that can be extracted with the density matrix renormalization group (DMRG) algorithm applied to quantum chains with a gradient. We present high-quality data collapses for the…

Strongly Correlated Electrons · Physics 2024-10-04 Natalia Chepiga

We analyze the effect of decoherence, modelled by local quantum channels, on quantum critical states and we find universal properties of the resulting mixed state's entanglement, both between system and environment and within the system.…

Quantum Physics · Physics 2023-07-05 Yijian Zou , Shengqi Sang , Timothy H. Hsieh

We study scaling properties of the model of fully developed turbulence for a compressible fluid, based on the stochastic Navier-Stokes equation, by means of the field theoretic renormalization group (RG). The scaling properties in this…

Statistical Mechanics · Physics 2016-11-07 N. V. Antonov , N. M. Gulitskiy , M. M. Kostenko , T. Lučivjanský

The application of Wilson's Numerical Renormalization Group (NRG) method to dissipative quantum impurity models, in particular the sub-ohmic spin-boson model, has led to conclusions regarding the quantum critical behavior which are in…

Statistical Mechanics · Physics 2012-03-16 Matthias Vojta

In the beginning of the 1970's, Wilson developed the concept of a fully non-perturbative renormalization group transformation. Applied to the Kondo problem, this numerical renormalization group method (NRG) gave for the first time the full…

Strongly Correlated Electrons · Physics 2008-04-22 Ralf Bulla , Theo Costi , Thomas Pruschke

The DC electrical conductivity of an ultrarelativistic QED plasma is studied in real time by implementing the dynamical renormalization group. The conductivity is obtained from the realtime dependence of a dissipative kernel related to the…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Boyanovsky , H. J. de Vega , S. -Y. Wang

We present a first study of the effects of renormalization-group resummation (RGR) and leading-renormalon resummation (LRR) on the systematic errors of the unpolarized isovector nucleon generalized parton distribution in the framework of…

High Energy Physics - Lattice · Physics 2024-08-20 Jack Holligan , Huey-Wen Lin

We study the real-time nonequilibrium dynamics in hot QED plasmas implementing a dynamical renormalization group and using the hard thermal loop (HTL) approximation. The focus is on the study of the relaxation of gauge and fermionic mean…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. -Y. Wang , D. Boyanovsky , H. J. de Vega , D. -S. Lee

We show that renormalization group (RG) theory applied to complex networks are useful to classify network topologies into universality classes in the space of configurations. The RG flow readily identifies a small-world/fractal transition…

Disordered Systems and Neural Networks · Physics 2010-01-30 Hernán D. Rozenfeld , Chaoming Song , Hernán A. Makse

We investigate the quantum phase transition in the transverse-field Ising model on the Sierpi\'nski gasket using finite-size scaling (FSS) and numerical renormalization group (NRG). Since next generations of the fractal lattice contain…

Statistical Mechanics · Physics 2026-04-17 Tymoteusz Braciszewski , Oliwier Urbański , Piotr Tomczak

Renormalization group (RG) methods used to soften Hamiltonians allow large-scale computational resources to be used to greater advantage in calculations of nuclear structure and reactions. These RG transformations lower the effective…

Nuclear Theory · Physics 2013-09-24 R. J. Furnstahl

The standard analytic solution of the renormalization group (RG) evolution for the $\Delta S = 1$ Wilson coefficients involves several singularities, which complicate analytic solutions. In this paper we derive a singularity-free solution…

High Energy Physics - Phenomenology · Physics 2016-12-21 Teppei Kitahara , Ulrich Nierste , Paul Tremper

We find the emergence of strong correlations and universality on the approach to the quantum critical points of a two impurity Anderson model. The two impurities are coupled by an inter-impurity exchange interaction $J$ and direct…

Strongly Correlated Electrons · Physics 2015-06-03 Y. Nishikawa , D. J. G. Crow , A. C. Hewson

The ratios $R_{2k}$ of renormalized coupling constants $g_{2k}$ that enter the effective potential and small-field equation of state acquire the universal values at criticality. They are calculated for the three-dimensional scalar…

Statistical Mechanics · Physics 2017-06-07 A. I. Sokolov , A. Kudlis , M. A. Nikitina

A renormalization group (RG) improvement of the Einstein-Hilbert action is performed which promotes Newton's constant and the cosmological constant to scalar functions on spacetime. They arise from solutions of an exact RG equation by means…

High Energy Physics - Theory · Physics 2010-11-19 M. Reuter , H. Weyer

We analyze the vacuum (topological) angle $\theta$ renormalization for the quantum mechanical model of a particle moving around a ring, where $\theta$ is the magnetic flux through the ring. We construct a renormalization group (RG)…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. M. Apenko

The integer quantum Hall transition (IQHT) is one of the most mysterious members of the family of Anderson transitions. Since the 1980s, the scaling behavior near the IQHT has been vigorously studied in experiments and numerical…

Disordered Systems and Neural Networks · Physics 2021-12-21 E. J. Dresselhaus , B. Sbierski , I. A. Gruzberg

We employ the Boltzmann equation for describing hadron production from a quark-gluon plasma (QGP) in ultrarelativistic heavy-ion collisions. We propose resonance formation in quark-antiquark scattering as the dominant meson-production…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. Ravagli , R. Rapp
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