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The spectrum of charged particles hopping on a kagome lattice in a uniform transverse magnetic field shows an unusual set of Landau levels at low field. They are unusual in two respects: the lowest Landau levels are paramagnetic so their…

Superconductivity · Physics 2009-11-07 Yi Xiao , Vincent Pelletier , Paul M. Chaikin , David A. Huse

In this work we report on the Landau gauge photon propagator computed for pure gauge 4D compact QED in the confined and deconfined phases and for large lattices volumes: $32^4$, $48^4$ and $96^4$. In the confined phase, compact QED develops…

High Energy Physics - Lattice · Physics 2021-06-02 Lee C. Loveridge , Orlando Oliveira , Paulo J. Silva

We study lattice QCD with a gauge action, which suppresses small plaquette values. Thus the MC history is confined to a single topological sector over a significant time, while other observables are decorrelated. This enables the cumulation…

High Energy Physics - Lattice · Physics 2009-11-10 S. Shcheredin , W. Bietenholz , K. Jansen , K. -I. Nagai , S. Necco , L. Scorzato

During the first part of this review we will focus on the thermodynamics of $SU(N)$ gauge theories at finite temperature. We will present results from a calculation of electric and magnetic screening masses for the gluons, discuss…

High Energy Physics - Lattice · Physics 2007-05-23 Frithjof Karsch

We study by numerical simulations on a lattice the behaviour of the gauge--invariant two--point correlation functions of the gauge field strengths across the deconfinement phase transition.

High Energy Physics - Lattice · Physics 2009-10-28 Adriano Di Giacomo , Enrico Meggiolaro , Haralambos Panagopoulos

Gauge fixing is an essential step in lattice QCD calculations, particularly for studying gauge-dependent observables. Traditional iterative algorithms are computationally expensive and often suffer from critical slowing down and scaling…

High Energy Physics - Lattice · Physics 2026-03-05 Ho Hsiao , Benjamin J. Choi , Hiroshi Ohno , Akio Tomiya

We discuss global gauge fixing on the lattice, specifically to the lattice Landau gauge, with the goal of understanding the question of why the process becomes extremely slow for large lattices. We construct an artificial "gauge-fixing"…

High Energy Physics - Lattice · Physics 2007-05-23 Jeffrey E. Mandula

Stencil computations are widely used in HPC applications. Today, many HPC platforms use GPUs as accelerators. As a result, understanding how to perform stencil computations fast on GPUs is important. While implementation strategies for…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-16 Ryuichi Sai , John Mellor-Crummey , Xiaozhu Meng , Mauricio Araya-Polo , Jie Meng

This paper investigates the application of a robust CPU-based power modelling methodology that performs an automatic search of explanatory events derived from performance counters to embedded GPUs. A 64-bit Tegra TX1 SoC is configured with…

Other Computer Science · Computer Science 2020-06-23 Jose Nunez-Yanez , Kris Nikov , Kerstin Eder , Mohammad Hosseinabady

The $sl(2)$ affine Toda model coupled to matter (ATM) is shown to describe various features, such as the spectrum and string tension, of the low-energy effective Lagrangian of QCD$_{2}$ (one flavor and $N$ colors). The corresponding string…

High Energy Physics - Theory · Physics 2009-11-07 Harold Blas

For the gluon propagator of pure SU(2) lattice gauge theory in the Landau gauge we investigate the effect of Gribov copies and finite-volume effects. Concerning gauge fixing, we enlarge the accessible gauge orbits by adding non-periodic…

High Energy Physics - Lattice · Physics 2016-03-28 I. L. Bogolubsky , V. G. Bornyakov , G. Burgio , E. -M. Ilgenfritz , M. Müller-Preussker , V. K. Mitrjushkin

We compute the quark-gluon vertex in quenched lattice QCD, in the Landau gauge using an off-shell mean-field O(a)-improved fermion action. The Dirac-vector part of the vertex is computed for arbitrary kinematics. We find a substantial…

High Energy Physics - Lattice · Physics 2008-11-26 Ayse Kizilersu , Derek B. Leinweber , Jon-Ivar Skullerud , Anthony G. Williams

We present the computation of invariants that arise in the strong coupling expansion of lattice QCD. These invariants are needed for Monte Carlo simulations of Lattice QCD with staggered fermions in a dual, color singlet representation.…

High Energy Physics - Lattice · Physics 2018-04-18 Giuseppe Gagliardi , Jangho Kim , Wolfgang Unger

We study the phase structure of QCD at finite temperatures with two flavors of dynamical quarks on a lattice with the size $N_s^3 \times N_t=16^3 \times 4$, using a renormalization group improved gauge action and a clover improved Wilson…

High Energy Physics - Lattice · Physics 2008-11-26 N. Ukita , S. Ejiri , T. Hatsuda , N. Ishii , Y. Maezawa , S. Aoki , K. Kanaya

We study the Landau level spectrum of ABA- and ABC-stacked trilayer graphene. We derive analytic low energy expressions for the spectrum, the validity of which is confirmed by comparison to a \pi -band tight-binding calculation of the…

Mesoscale and Nanoscale Physics · Physics 2011-10-04 Shengjun Yuan , Rafael Roldán , Mikhail I. Katsnelson

Nonperturbative properties of gluons are studied in SU(3) lattice QCD at the quenched level. The first subject is a functional-form analysis of the gluon propagator $D_{\mu\nu}^{ab}(x)$ in the Landau gauge. We find that the gluon propagator…

High Energy Physics - Lattice · Physics 2011-07-14 Hideo Suganuma , Takumi Iritani , Arata Yamamoto , Hideaki Iida

We investigate implementation of lattice Quantum Chromodynamics (QCD) code on the Intel Xeon Phi Knights Landing (KNL). The most time consuming part of the numerical simulations of lattice QCD is a solver of linear equation for a large…

High Energy Physics - Lattice · Physics 2017-12-06 Issaku Kanamori , Hideo Matsufuru

Reducing memory traffic is critical to accelerate Lattice QCD computations on modern processors, given that such computations are memory-bandwidth bound. A commonly used strategy is mixed-precision solvers, however, these require careful…

High Energy Physics - Lattice · Physics 2023-02-21 M. A. Clark , Dean Howarth , Jiqun Tu , Mathias Wagner , Evan Weinberg

Lattice spin models are useful for studying critical phenomena and allow the extraction of equilibrium and dynamical properties. Simulations of such systems are usually based on Monte Carlo (MC) techniques, and the main difficulty is often…

Computational Physics · Physics 2012-09-13 Tal Levy , Guy Cohen , Eran Rabani

We discuss critical slowing-down of several gauge-fixing algorithms for the so-called lambda-gauges in the SU(2) case at zero temperature. For these gauges we also evaluate the gluon propagator using different definitions of the lattice…

High Energy Physics - Lattice · Physics 2007-05-23 Attilio Cucchieri , Tereza Mendes