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Numerical Stochastic Perturbation Theory was able to get three- (and even four-) loop results for finite Lattice QCD renormalization constants. More recently, a conceptual and technical framework has been devised to tame finite size…

High Energy Physics - Lattice · Physics 2015-06-17 Michele Brambilla , Francesco Di Renzo

By numerical exact diagonalization techniques, we obtain the quantum phase diagram of the lattice fractional quantum Hall (FQH) systems in the presence of quenched disorder. By implementing an array of local potential traps representing the…

Strongly Correlated Electrons · Physics 2012-05-16 Shuo Yang , Kai Sun , S. Das Sarma

We study the flat phase of nematic elastomer membranes with rotational symmetry spontaneously broken by in-plane nematic order. Such state is characterized by a vanishing elastic modulus for simple shear and soft transverse phonons. At…

Soft Condensed Matter · Physics 2009-11-10 Xiangjun Xing , Ranjan Mukhopadhyay , T. C. Lubensky , Leo Radzihovsky

We apply Density Matrix Renormalization Group methods to study the phase diagram of the quantum ANNNI model in the region of low frustration where the ferromagnetic coupling is larger than the next-nearest-neighbor antiferromagnetic one. By…

Statistical Mechanics · Physics 2010-11-05 Matteo Beccaria , Massimo Campostrini , Alessandra Feo

We investigate the effects of layered quenched disorder on the behavior of planar magnets, superfluids, and superconductors by performing large-scale Monte-Carlo simulations of a three-dimensional randomly layered XY model. Our data provide…

Disordered Systems and Neural Networks · Physics 2012-12-04 Fawaz Hrahsheh , Thomas Vojta

We present a theoretical study of the equilibrium ordering in a 3D XY nematic system with quenched random disorder. Within this model, treated with the replica trick and Gaussian variational method, the correlation length is obtained as a…

Soft Condensed Matter · Physics 2009-11-11 L. Petridis , E. M. Terentjev

We investigate the properties of crystalline phantom membranes, at the crumpling transition and in the flat phase, using a nonperturbative renormalization group approach. We avoid a derivative expansion of the effective average action and…

Statistical Mechanics · Physics 2011-04-01 N. Hasselmann , F. L. Braghin

The randomly pinned planar flux line array is supposed to show a phase transition to a vortex glass phase at low temperatures. This transition has been examined by using a mapping onto a 2D XY-model with random an\-iso\-tropy but without…

Condensed Matter · Physics 2016-08-31 Jan Kierfeld

The critical behavior of three-dimensional weakly diluted quenched Ising model is examined on the base of six-loop renormalization group expansions obtained within the minimal subtraction scheme in $4-\epsilon$ space dimensions. For this…

Statistical Mechanics · Physics 2021-04-29 M. V. Kompaniets , A. Kudlis , A. I. Sokolov

The renormalization group is applied to the phi4 model in the symmetry broken phase in order to identify different scaling regimes. The new scaling laws reflect nonuniversal behavior at the phase transition. The extension of the analysis to…

High Energy Physics - Theory · Physics 2007-05-23 Jean Alexandre , Vincenzo Branchina , Janos Polonyi

The effect of quantum fluctuations on a nearly flat, nonrelativistic two-dimensional membrane with extrinsic curvature stiffness and tension is investigated. The renormalization group analysis is carried out in first-order perturbative…

Condensed Matter · Physics 2009-10-31 M. E. S. Borelli , H. Kleinert , Adriaan M. J. Schakel

The ferromagnetic phase of an Ising model in d=3, with any amount of quenched antiferromagnetic bond randomness, is shown to undergo a transition to a spin-glass phase under sufficient quenched bond dilution. This general result,…

Disordered Systems and Neural Networks · Physics 2009-03-30 Gül Gülpınar , A. Nihat Berker

A quenched second order phase transition is modeled by an effective $\Phi^4$-theory with a time-dependent Hamiltonian $\hat{H} (t)$, whose symmetry is broken spontaneously in time. The quantum field evolves out of equilibrium…

High Energy Physics - Phenomenology · Physics 2009-11-07 Sang Pyo Kim , Supratim Sengupta , F. C. Khanna

We present a hydrodynamic theory of incompressible polar active fluids with quenched disorder. This theory shows that such fluids can overcome the disruption caused by the quenched disorder and move coherently, in the sense of having a…

Soft Condensed Matter · Physics 2022-11-04 Leiming Chen , Chiu Fan Lee , Ananyo Maitra , John Toner

We investigate hexatic membranes embedded in Euclidean D-dimensional space using a reparametrization invariant formulation combined with exact renormalization group (RG) equations. An XY-model coupled to a fluid membrane, when integrated…

Statistical Mechanics · Physics 2015-03-18 Alessandro Codello , Omar Zanusso

The phase diagram of non-compact lattice QED in four dimensions with staggered fermions of charges 1 and $-1/2$ is investigated. The renormalized charges are determined and found to be in agreement with perturbation theory. This is an…

High Energy Physics - Lattice · Physics 2009-10-28 A. Ali Khan

We introduce a technique relying on the use of auxiliary fields in order to eliminate explicit field-derivatives that plague the high orders renormalization group treatment of shift-symmetric, derivative, theories. This technique simplifies…

High Energy Physics - Theory · Physics 2023-10-19 L. Delzescaux , C. Duclut , D. Mouhanna , M. Tissier

A vertex model introduced by M. Bowick, P. Di Francesco, O. Golinelli, and E. Guitter (cond-mat/9502063) describing the folding of the triangular lattice onto the face centered cubic lattice has been studied in the hexagon approximation of…

High Energy Physics - Theory · Physics 2009-10-28 Emilio N. M. Cirillo , Giuseppe Gonnella , Alessandro Pelizzola

The idea of the functional renormalization group and one-loop improved renormalization group flows are reviewed. The associated flow equations and nonperturbative approximations schemes for its solutions are discussed. These techniques are…

High Energy Physics - Phenomenology · Physics 2008-12-18 Bernd-Jochen Schaefer , Jochen Wambach

This paper aims at using the functional renormalization group formalism to study the equilibrium states of a stochastic process described by a quench--disordered multilinear Langevin equation. Such an equation characterizes the evolution of…

High Energy Physics - Theory · Physics 2023-01-16 Vincent Lahoche , Dine Ousmane Samary , Mohamed Ouerfelli