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The renormalization procedure of the non-linear SU(2) sigma model in D=4 proposed in hep-th/0504023 and hep-th/0506220 is here tested in a truly non-trivial case where the non-linearity of the functional equation is crucial. The simplest…

High Energy Physics - Theory · Physics 2009-11-11 Ruggero Ferrari , Andrea Quadri

We establish the functional Renormalization Group as an exploratory tool to investigate a possible phase transition between a pre-geometric discrete phase and a geometric continuum phase in quantum gravity. In this paper, based on the…

General Relativity and Quantum Cosmology · Physics 2014-12-03 Astrid Eichhorn , Tim Koslowski

The phase diagram of QCD at finite temperature and density and the existence of a critical point are currently very actively researched topics. Although tremendous progress has been made, in the case of two light quark flavors even the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Bertram Klein , Jens Braun

In this paper, we use a nonperturbative renormalization group approach to construct the dynamical phase space of a quantum spin glass in the large $N$ limit. The disordered Hamiltonian is of ``$2 + p$" type, and we perform a coarse-graining…

Disordered Systems and Neural Networks · Physics 2025-03-18 Ixandra Achitouv , Vincent Lahoche , Dine Ousmane Samary , Parham Radpay

In the context of Monte Carlo simulations, the analysis of the probability distribution $P_L(m)$ of the order parameter $m$, as obtained in simulation boxes of finite linear extension $L$, allows for an easy estimation of the location of…

Soft Condensed Matter · Physics 2011-05-27 T. Fischer , R. L. C. Vink

We systematically investigate the equilibrium and the nonequilibrium quench dynamics of three-dimensional disordered quadrupolar Bose-Einstein condensates. Within the Bogoliubov-Huang-Meng approximation, we show that the combined effect of…

Disordered Systems and Neural Networks · Physics 2025-08-07 Abdelaali Boudjemaa

Equivalence of the influence of quenched and annealed disorder on scaling properties of long flexible polymer chains is proved by analyzing the O(m)-symmetric field theory in polymer (de Gennes) limit m \to 0. Additional symmetry properties…

Soft Condensed Matter · Physics 2015-06-16 V. Blavatska

We analyze the convergence of a perturbed circular interface for the two-phase Mullins-Sekerka evolution in flat two-dimensional space. Our method is based on the gradient flow structure of the evolution and captures two distinct regimes of…

Analysis of PDEs · Mathematics 2025-07-29 Saša Lukić

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

We continue the study of the renormalization group and decoupling of massive fields in curved space, started in the previous article and analyse the higher derivative sector of the vacuum metric-dependent action of the Standard Model. The…

High Energy Physics - Phenomenology · Physics 2009-11-10 Eduard V. Gorbar , Ilya L. Shapiro

We consider a simple model consisting of particles with four bonding sites ("patches"), two of type A and two of type B, on the square lattice, and investigate its global phase behavior by simulations and theory. We set the interaction…

Soft Condensed Matter · Physics 2011-11-24 N. G. Almarza , J. M. Tavares , M. Simões , M. M. Telo da Gama

The characterization of excitations in disordered quantum systems is a central issue in connection with glass physics and many-body localization. Here, we show that quench spectroscopy of a disordered model, as realized from its…

Disordered Systems and Neural Networks · Physics 2021-09-01 L. Villa , S. J. Thomson , L. Sanchez-Palencia

We demonstrate the full power of nonperturbative renormalisation group methods for nonequilibrium situations by calculating the quantitative phase diagrams of simple branching and annihilating random walks and checking these results against…

Statistical Mechanics · Physics 2009-11-10 L. Canet , H. Chaté , B. Delamotte

We present a spin-1/2 bilayer model for the quantum order-disorder transition which (i) can be solved by mean-field theory for bulk quantities, (ii) becomes critical at the transition, and (iii) allows to include intralayer frustration. We…

Condensed Matter · Physics 2009-10-28 C. Gros , W. Wenzel , J. Richter

Quenched disorder - in the sense of the Harris criterion - is generally a relevant perturbation at an absorbing state phase transition point. Here using a strong disorder renormalization group framework and effective numerical methods we…

Statistical Mechanics · Physics 2009-11-10 Jef Hooyberghs , Ferenc Igloi , Carlo Vanderzande

A new ''static'' renormalization group approach to stochastic models of fluctuating surfaces with spatially quenched noise is proposed in which only time-independent quantities are involved. As examples, quenched versions of the…

Statistical Mechanics · Physics 2020-01-28 N. V. Antonov , P. I. Kakin , N. M. Lebedev

We quantitatively discuss the influence of quenched disorder on the ferromagnetic quantum phase transition in metals, using a theory that describes the coupling of the magnetization to gapless fermionic excitations. In clean systems, the…

Strongly Correlated Electrons · Physics 2015-03-16 Y. Sang , D. Belitz , T. R. Kirkpatrick

We investigate the quantum phase transition in an $S = 1/2$ dimerized Heisenberg antiferromagnet in three spatial dimensions. By performing large-scale quantum Monte Carlo simulations and detailed finite-size scaling analyses, we obtain…

Strongly Correlated Electrons · Physics 2015-12-07 Yan Qi Qin , Bruce Normand , Anders W. Sandvik , Zi Yang Meng

The nature of the interplay between fluctuations and quenched random disorder is a long-standing open problem, particularly in systems with a continuous order parameter. This lack of a full theoretical treatment has been underscored by…

Strongly Correlated Electrons · Physics 2024-01-22 Matthew C. O'Brien , Eduardo Fradkin

We consider a general model of a disordered copolymer with adsorption. This includes, as particular cases, a generalization of the copolymer at a selective interface introduced by Garel et al. [Europhys. Lett. 8 (1989) 9--13], pinning and…

Probability · Mathematics 2008-08-22 Fabio Lucio Toninelli