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We study the coupled Wong Yang-Mills equations for both U(1) and SU(2) gauge groups and anisotropic particle momentum distributions numerically on a lattice. For weak fields with initial energy density much smaller than that of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Adrian Dumitru , Yasushi Nara

We consider the lattice dynamics in the half-space. The initial data are random according to a probability measure which enforces slow spatial variation on the linear scale $\varepsilon^{-1}$. We establish two time regimes. For times of…

Mathematical Physics · Physics 2015-05-13 T. V. Dudnikova

Universal aspects of thermalization in interacting many-body systems are challenging to derive microscopically, especially in kinetically constrained models, yet their numerical study beyond $(1+1)$D remains notoriously difficult. Here, we…

Quantum Physics · Physics 2026-03-17 Lukas Homeier , Andrea Pizzi , Hongzheng Zhao , Jad C. Halimeh , Fabian Grusdt , Ana Maria Rey

We simulate the real-time evolution of the $SU(3)$-glasma generated in the early stages of high-energy proton-nucleus collisions, employing classical lattice gauge theory techniques. Our setup incorporates a realistic modeling of the…

High Energy Physics - Phenomenology · Physics 2025-10-24 Gabriele Parisi , Vincenzo Greco , Marco Ruggieri

We consider a two-dimensional lattice gas model with repulsive nearest- and next-nearest-neighbor interactions that evolves in time according to anisotropic Kawasaki dynamics. The hopping of particles along the principal directions is…

Condensed Matter · Physics 2007-05-23 Attila Szolnoki , Gyorgy Szabo

We write the partition function for a lattice gauge theory, with compact gauge group, exactly in terms of unconstrained variables and show that, in the mean field approximation, the dynamics of pure gauge theories, invariant under compact,…

High Energy Physics - Lattice · Physics 2011-08-12 Stam Nicolis

We present the equation of state (pressure, trace anomaly, energy density and entropy density) of the SU(3) gauge theory from lattice field theory in an unprecedented precision and temperature range. We control both finite size and cut-off…

High Energy Physics - Phenomenology · Physics 2011-04-04 Sz. Borsanyi , G. Endrodi , Z. Fodor , S. D. Katz , K. K. Szabo

In the framework of a non-compact lattice regularization of nonabelian gauge theories we look, in the SU(2) case, for the scaling window through the analysis of the ratio of two masses of hadronic states. In the two-dimensional parameter…

High Energy Physics - Lattice · Physics 2009-10-31 Giuseppe Di Carlo , Roberto Scimia

The lattice data for the energy density of $SU(2)$ gauge theory are calculated with \nop~derivatives of the coupling constants. These derivatives are obtained from two sources : i) a parametrization of the \nop~beta function in accord with…

High Energy Physics - Lattice · Physics 2009-10-22 J. Engels , F. Karsch , K. Redlich

Using the infrared dispersion relation of the on shell gluon, we calculate the renormalisation of the the anisotropy to one loop in perturbation theory for lattice Yang-Mills theories, including the Wilson action and actions with Symanzik…

High Energy Physics - Lattice · Physics 2009-11-07 I. T. Drummond , A. Hart , R. R. Horgan , L. C. Storoni

The Ising lattice gas, with its well known equilibrium properties, displays a number of surprising phenomena when driven into non-equilibrium steady states. We study such a model with anisotropic interparticle interactions ($J_{\Vert }\neq…

Statistical Mechanics · Physics 2015-06-25 L. B. Shaw , B. Schmittmann , R. K. P. Zia

The $SU(2){-}$gauged custodial two-Higgs-doublet model, which shares the same global-symmetry properties with the standard model, is studied non-perturbatively on the lattice. The additional Higgs doublet enlarges the scalar spectrum and…

High Energy Physics - Lattice · Physics 2025-11-03 Guilherme Catumba , Atsuki Hiraguchi , Wei-Shu Hou , Karl Jansen , Ying-Jer Kao , C. -J. David Lin , Alberto Ramos , Mugdha Sarkar

Three techniques for performing gauge-invariant, noncompact lattice simulations of nonabelian gauge theories are discussed. In the first method, the action is not itself gauge invariant, but a kind of lattice gauge invariance is restored by…

High Energy Physics - Lattice · Physics 2008-02-03 Kevin Cahill

We describe the results of a systematic high-statistics Monte-Carlo study of finite-size effects at the phase transition of compact U(1) lattice gauge theory with Wilson action on a hypercubic lattice with periodic boundary conditions. We…

High Energy Physics - Lattice · Physics 2011-07-19 Burkhard Klaus , Claude Roiesnel

Off-equilibrium dynamics of a three-dimensional lattice model with nearest- and next nearest-neighbors exclusions is studied. At equilibrium, the model undergoes a first-order fluid-solid transition. Non-equilibrium filling, through random…

Statistical Mechanics · Physics 2015-05-30 H. Levit , Z. Rotman , E. Eisenberg

Lattice gauge theories are fundamental to such distinct fields as particle physics, condensed matter, and quantum information science. Their local symmetries enforce the charge conservation observed in the laws of physics. Impressive…

Mesoscale and Nanoscale Physics · Physics 2022-06-15 Hannes Riechert , Jad C. Halimeh , Valentin Kasper , Landry Bretheau , Erez Zohar , Philipp Hauke , Fred Jendrzejewski

We report on our study of two-flavor full QCD on anisotropic lattices using $O(a)$-improved Wilson quarks coupled with an RG-improved glue. The bare gauge and quark anisotropies corresponding to the renormalized anisotropy $\xi=a_s/a_t = 2$…

The $O(a)$ improved Wilson quark action on the anisotropic lattice is investigated. We carry out numerical simulations in the quenched approximation at three values of lattice spacing ($a_{\sigma}^{-1}=1$--2 GeV) with the anisotropy…

High Energy Physics - Lattice · Physics 2009-11-07 Hideo Matsufuru , Tetsuya Onogi , Takashi Umeda

Provided the quantum fluctuations are amplified in the presence of a classical gauge field configuration the resulting curvature perturbations exhibit a mild statistical anisotropy which should be sufficiently weak not to conflict with…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-09 Massimo Giovannini

We consider Glauber dynamics of classical spin systems of Ising type in the limit when the temperature tends to zero in finite volume. We show that information on the structure of the most profound minima and the connecting saddle points of…

Disordered Systems and Neural Networks · Physics 2015-06-24 Anton Bovier , Francesco Manzo