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After fifty years of lattice gauge theories (LGTs), the nature of the transition between their topological phases (confinement/deconfinement) remains challenging due to the absence of a local order parameter. In this work, we conduct a…

Statistical Mechanics · Physics 2025-09-16 Ramgopal Agrawal , Leticia F. Cugliandolo , Lara Faoro , Lev B. Ioffe , Marco Picco

We have revisited the non-conserved (or model A) critical dynamics of the two-dimensional Ising model through numerical simulations of its lattice and continuum formulations --Glauber dynamics and the timedependent Ginzburg-Landau (TDGL)…

Statistical Mechanics · Physics 2025-12-02 Héctor Vaquero del Pino , Rodolfo Cuerno

We address the out-of-equilibrium critical dynamics of the three-dimensional lattice ${\mathbb Z}_2$ gauge model, and in particular the critical relaxational flows arising from instantaneous quenches to the critical point, driven by purely…

Statistical Mechanics · Physics 2025-05-15 Claudio Bonati , Haralambos Panagopoulos , Ettore Vicari

We consider model A dynamics for a heating quench from the disordered (confined) into the ordered (deconfined) phase of SU(3) lattice gauge theory. For $4 N_{\sigma}^3$ lattices the exponential growth factors of low-lying structure function…

High Energy Physics - Lattice · Physics 2008-11-26 Alexei Bazavov , Bernd A. Berg , Alexander Velytsky

Motivated by questions about the QCD deconfining phase transition, we studied in two previous papers Model A (Glauber) dynamics of 2D and 3D Potts models, focusing on structure factor evolution under heating (heating in the gauge theory…

High Energy Physics - Lattice · Physics 2009-11-11 Alexei Bazavov , Bernd A. Berg , Alexander Velytsky

We study quantum quenches in two-dimensional lattice gauge theories with fermions coupled to dynamical $\mathbb{Z}_2$ gauge fields. Through the identification of an extensive set of conserved quantities, we propose a generic mechanism of…

Strongly Correlated Electrons · Physics 2018-06-26 Adam Smith , Johannes Knolle , Roderich Moessner , Dmitry L. Kovrizhin

We study FK-percolation where the edge parameters are chosen as independent random variables in the near-critical regime. We show that if these parameters satisfy a natural centering condition around the critical point, then the quenched…

Probability · Mathematics 2025-09-12 Emile Avérous , Rémy Mahfouf

We investigate the critical relaxational dynamics of the three-dimensional (3D) lattice $Z_N$ gauge models with $N=6$ and $N=8$, whose equilibrium critical behavior at their topological transitions belongs to the inverted XY (IXY)…

Statistical Mechanics · Physics 2025-08-21 Claudio Bonati , Haralambos Panagopoulos , Ettore Vicari

We study the critical dynamics of a scalar field theory with $Z_2$ symmetry in the dynamic universality class of Model A in two and three spatial dimensions with classical-statistical lattice simulations. In particular, we measure the…

High Energy Physics - Phenomenology · Physics 2024-11-18 Leon J. Sieke , Mattis Harhoff , Sören Schlichting , Lorenz von Smekal

We study the geometric properties of a system initially in equilibrium at a critical point that is suddenly quenched to another critical point and subsequently evolves towards the new equilibrium state. We focus on the bidimensional Ising…

Statistical Mechanics · Physics 2014-07-17 Thibault Blanchard , Leticia F. Cugliandolo , Marco Picco

We study a lattice model describing the non-equilibrium dynamics emerging from the pulling of a tracer particle through a disordered medium occupied by randomly placed obstacles. The model is considered in a restricted geometry pertinent…

Statistical Mechanics · Physics 2026-03-09 A. Squarcini , A. Tinti , P. Illien , O. Bénichou , T. Franosch

We study the slow quench dynamics of a one-dimensional nonequilibrium lattice gas model which exhibits a phase transition in the stationary state between a fluid phase with homogeneously distributed particles and a jammed phase with a…

Statistical Mechanics · Physics 2017-09-11 Priyanka , Kavita Jain

Gauge theories describe the fundamental forces in the standard model of particle physics and play an important role in condensed matter physics. The constituents of gauge theories, for example charged matter and electric gauge field, are…

Quantum Physics · Physics 2025-12-03 Julius Mildenberger , Wojciech Mruczkiewicz , Jad C. Halimeh , Zhang Jiang , Philipp Hauke

Motivated by the experimental search for the QCD critical point we perform simulations of a stochastic field theory with purely relaxational dynamics (model A). We verify the expected dynamic scaling of correlation functions. Using a finite…

Nuclear Theory · Physics 2022-07-27 Thomas Schaefer , Vladimir Skokov

Understanding the non-equilibrium dynamics of gauge theories remains a fundamental challenge in high-energy physics. Indeed, most large scale experiments on gauge theories intrinsically rely on very far-from equilibrium dynamics, from…

The classical dimer model on the cubic lattice hosts a columnar ordered phase and a disordered Coulomb phase, separated by a continuous phase transition that lies beyond the conventional Landau-Ginzburg-Wilson paradigm. While its…

Statistical Mechanics · Physics 2026-05-18 Hu-Xiao Peng , Zheng Yan , Shuai Yin

We investigate the out of equilibrium dynamics of the two-dimensional XY model when cooled across the Berezinskii-Kosterlitz-Thouless (BKT) phase transition using different protocols. We focus on the evolution of the growing correlation…

Statistical Mechanics · Physics 2015-03-17 Asja Jelic , Leticia F. Cugliandolo

In this paper we study a 3D lattice spin model of CP$^1$ Schwinger-bosons coupled with dynamical compact U(1) gauge bosons. The model contains two parameters; the gauge coupling and the hopping parameter of CP$^1$ bosons. At large (weak)…

Strongly Correlated Electrons · Physics 2009-11-11 Shunsuke Takashima , Ikuo Ichinose , Tetsuo Matsui

In most lattice models, the closing of a band gap typically occurs at high-symmetry points in the Brillouin zone. Differently, in the Creutz model $-$ describing a system of spinless fermions hopping on a two-leg ladder pierced by a…

Quantum Physics · Physics 2019-02-12 R. Jafari , Henrik Johannesson , A. Langari , M. A. Martin-Delgado

We characterize the dynamic universality classes of a relaxational dynamics under equilibrium conditions at the continuous transitions of three-dimensional (3D) spin systems with a ${\mathbb Z}_2$-gauge symmetry. In particular, we consider…

Statistical Mechanics · Physics 2025-03-19 Claudio Bonati , Andrea Pelissetto , Ettore Vicari
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