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Disordered systems are interesting for many physical reasons. In this article, we study the renormalization group property of quenched disorder systems in the presence of a boundary. We construct examples of scalar field theories in various…

High Energy Physics - Theory · Physics 2021-08-17 Rajesh Kumar Gupta

We explore thermal fluctuations of thin planar membranes with a frozen spatially-varying background metric and a shear modulus. We focus on a special class of $D$-dimensional ``warped membranes'' embedded in a $d-$dimensional space with…

Soft Condensed Matter · Physics 2016-06-22 Andrej Kosmrlj , David R. Nelson

We face the problem of phase transitions in diluted systems both from theoretical and numerical sides. We study the effects of quenched site-dilution in classical models (Heisenberg, Ising and Potts) in 2, 3, and 4 dimensions both by using…

Disordered Systems and Neural Networks · Physics 2015-03-14 A. Gordillo-Guerrero

The renormalisation group running of the quark mass is determined non-perturbatively for a large range of scales, by computing the step scaling function in the Schroedinger Functional formalism of quenched lattice QCD both with and without…

High Energy Physics - Lattice · Physics 2009-11-10 M. Guagnelli , J. Heitger , F. Palombi , C. Pena , A. Vladikas

We revisit the field-free Ising model on a square lattice with up to third-neighbour (nnnn) interactions, also known as the $J_{1}$--$J_{2}$--$J_{3}$ model, in the mean-field approximation. Using a systematic enumeration procedure, we show…

Statistical Mechanics · Physics 2021-12-20 Rodolfo Subert , Bela M. Mulder

New theoretical and numerical analysis of the one-dimensional contact process with quenched disorder are presented. We derive new scaling relations, different from their counterparts in the pure model, which are valid not only at the…

Condensed Matter · Physics 2016-08-15 Raffaele Cafiero , Andrea Gabrielli , Miguel A. Muñoz

We present the three-loop QCD+QED mixed corrections to the on-shell quark mass and wave-function renormalization constants through orders $\mathcal{O}(\alpha_s^m\alpha^n)$ with $m+n=3$. We further derive the three-loop relation between the…

High Energy Physics - Phenomenology · Physics 2026-02-24 Long Chen , Hong-Yang Han , Zhe Li , Marco Niggetiedt

By the example of Heisenberg $d$-dimensional disordered non-frustrated antiferromagnets, we discuss quantum transitions at $d\ge2$ from magnetically ordered (superfluid) to various disorder-induced insulating phases (Bose-glass, Mott-glass,…

Strongly Correlated Electrons · Physics 2023-02-27 A. V. Syromyatnikov , F. D. Timkovskii

We derive an exact renormalization group recursion relation for the Loschmidt amplitude of the quantum $Q$-state clock model and the quantum $Q$-state Potts model in one dimension. The renormalization group flow is discussed in detail. The…

Statistical Mechanics · Physics 2020-10-08 Yantao Wu

Folding of the triangular lattice in a discrete three-dimensional space is investigated numerically. Such ``discrete folding'' has come under through theoretical investigation, since Bowick and co-worker introduced it as a simplified model…

Statistical Mechanics · Physics 2009-11-10 Yoshihiro Nishiyama

An XY model with random phase shifts as a model for a superconducting glass is studied in two and three dimensions by a zero temperature domain wall renormalization group which allows one to follow the flows of both the coupling constant…

Superconductivity · Physics 2009-10-30 J. M. Kosterlitz , M. V. Simkin

The effect of quenched disorder on the low-energy properties of various antiferromagnetic spin ladder models is studied by a numerical strong disorder renormalization group method and by density matrix renormalization. For strong enough…

Disordered Systems and Neural Networks · Physics 2009-11-07 R. Mélin , Y. -C. Lin , P. Lajkó , H. Rieger , F. Iglói

We study global quenches in a number of interacting quantum field theory models away from the conformal regime. We conduct a perturbative renormalization at one-loop level and track the modifications of the quench protocol induced by the…

High Energy Physics - Theory · Physics 2019-01-30 Mikhail Goykhman , Tom Shachar , Michael Smolkin

We analyze the universal features of the critical behaviour of frustrated spin systems with noncollinear order. By means of the field theoretical renormalization group approach, we study the 3d model of a frustrated magnet and obtain…

Statistical Mechanics · Physics 2009-11-10 Yurij Holovatch , Dmytro Ivaneyko , Bertrand Delamotte

We provide the complete four-loop perturbative renormalization of a low-temperature statistical mechanics model of flat polymerized membranes. Using a non-local effective flexural theory, which is based on transverse elastic fluctuations,…

Statistical Mechanics · Physics 2024-12-12 S. Metayer

We present a restricted solid on solid hamiltonian for fcc (110) surfaces. It is the simplest generalization of the exactly solvable BCSOS model which is able to describe a $(2\times 1)$ missing-row reconstructed surface. We study this…

Condensed Matter · Physics 2009-10-22 Giuseppe Santoro , Michele Fabrizio

Nematic elastomers do not show the discontinuous, first-order, phase transition that the Landau-De Gennes mean field theory predicts for a quadrupolar ordering in 3D. We attribute this behavior to the presence of network crosslinks, which…

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

We set up and study the hydrodynamic theory for inversion-symmetric active fluid and tethered membranes. For some choices of the activity parameter, such membranes are stable and described by linear hydrodynamic equations, which are exact…

Statistical Mechanics · Physics 2025-06-17 Sudip Mukherjee , Abhik Basu

We investigate the influence of quenched disorder on the steady states of driven systems of the elastic interface with non-local hydrodynamic interactions. The generalized elastic model (GEM), which has been used to characterize numerous…

Statistical Mechanics · Physics 2023-08-31 Mohsen Ghasemi Nezhadhaghighi

We study the influence of quenched disorder on quantum phase transitions in systems with over-damped dynamics. For Ising order parameter symmetry disorder destroys the sharp phase transition by rounding because a static order parameter can…

Strongly Correlated Electrons · Physics 2009-11-07 Thomas Vojta