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It is well-known that molecular dynamics integrators, which are used for lattice quantum chromodynamics (QCD), suffer from instabilities and possess a rather low order of the accuracy. Hence, it is highly desirable to construct a new class…

Mathematical Physics · Physics 2012-01-12 Dmitry Shcherbakov , Matthias Ehrhardt

The process $\Lambda_b \rightarrow \Lambda_c \ell^- \bar{\nu}_\ell$ serves as a tool for exploring new physics, with contributions from scalar, vector, and tensor hadronic currents in various models. These form factors are derived from the…

High Energy Physics - Phenomenology · Physics 2024-12-17 Ahmed Rashed

Lattice Gauge Theory enables an ab initio study of the low-energy properties of Quantum Chromodynamics, the theory of the strong interaction. I begin these lectures by presenting the lattice formulation of QCD, and then outline the…

Nuclear Theory · Physics 2017-08-23 D. G. Richards

We formulate the lattice QCD simulation with background classical gravitational fields. This formulation enables us to study nonperturbative aspects of quantum phenomena in curved spacetimes from the first principles. As the first…

High Energy Physics - Lattice · Physics 2014-10-08 Arata Yamamoto

We present a lattice algorithm specifically designed for some classical applications of lattice reduction. The applications are for lattice bases with a generalized knapsack-type structure, where the target vectors are boundably short. For…

Symbolic Computation · Computer Science 2010-02-04 Mark Van Hoeij , Andrew Novocin

The architecture of a new class of computers, optimized for lattice QCD calculations, is described. An individual node is based on a single integrated circuit containing a PowerPC 32-bit integer processor with a 1 Gflops 64-bit IEEE…

High Energy Physics - Lattice · Physics 2010-11-15 D. Chen , N. H. Christ , C. Cristian , Z. Dong , A. Gara , K. Garg , B. Joo , C. Kim , L. Levkova , X. Liao , R. D. Mawhinney , S. Ohta , T. Wettig

This document is one of a series of whitepapers from the USQCD collaboration. Here, we discuss opportunities for lattice QCD in neutrino-oscillation physics, which inevitably entails nucleon and nuclear structure. In addition to discussing…

High-rate quantum LDPC (qLDPC) codes reduce memory overhead by densely packing many logical qubits into a single block of physical qubits. Here we extend this concept to high-rate computation by constructing \emph{batched} fault-tolerant…

After giving an overview of recently invented methods for simulating lattice QCD at small mu/T, we discuss some results for bulk thermodynamic quantities of QCD matter coming from those methods. We focus on the transition line and the…

High Energy Physics - Lattice · Physics 2017-08-23 C. Schmidt

Real-time lattice quantum electrodynamics (QED) provides a unique tool for simulating plasmas in the strong-field regime, where collective plasma scales are not well-separated from relativistic-quantum scales. As a toy model, we study…

Plasma Physics · Physics 2018-05-16 Yuan Shi , Jianyuan Xiao , Hong Qin , Nathaniel J. Fisch

We present a set of programming tools (classes and functions written in C++ and based on Message Passing Interface) for fast development of generic parallel (and non-parallel) lattice simulations. They are collectively called MDP 1.2. These…

High Energy Physics - Lattice · Physics 2009-10-31 Massimo Di Pierro

The vast majority of hadrons observed in nature are not stable under the strong interaction, rather they are resonances whose existence is deduced from enhancements in the energy dependence of scattering amplitudes. The study of hadron…

High Energy Physics - Lattice · Physics 2018-05-09 Raul A. Briceno , Jozef J. Dudek , Ross D. Young

The quantum link~\cite{Brower:1997ha} Hamiltonian was introduced two decades ago as an alternative to Wilson's Euclidean lattice QCD with gauge fields represented by bi-linear fermion/anti-fermion operators. When generalized this new…

High Energy Physics - Lattice · Physics 2020-02-25 Richard C. Brower , David Berenstein , Hiroki Kawai

We introduce a novel quantum algorithm for the lattice Boltzmann method (LBM) based on the one-step simplified LBM. The structure of the algorithm allows for more flexibility in modelling different physics in contrast to earlier quantum…

As the scope of Computational Fluid Dynamics (CFD) grows to encompass ever larger problem scales, so does the interest in whether quantum computing can provide an advantage. In recent years, Quantum Lattice Gas Automata (QLGA) and Quantum…

Quantum Physics · Physics 2025-10-17 Călin A. Georgescu , Matthias Möller

Quantum low-density parity-check (qLDPC) codes offer a promising route to scalable fault-tolerant quantum computing due to their substantially reduced footprint. However, these gains can be diluted at utility scale if we cannot also realize…

Quantum Physics · Physics 2026-03-10 Willers Yang , Jason Chadwick , Mariesa H. Teo , Joshua Viszlai , Fred Chong

Quantum computing holds great promise to accelerate scientific computations in fluid dynamics and other classical physical systems. While various quantum algorithms have been proposed for linear flows, developing quantum algorithms for…

Fluid Dynamics · Physics 2025-02-25 Boyuan Wang , Zhaoyuan Meng , Yaomin Zhao , Yue Yang

We report on our implementation of LatticeQCD applications using OpenCL. We focus on the general concept and on distributing different parts on hybrid systems, consisting of both CPUs (Central Processing Units) and GPUs (Graphic Processing…

High Energy Physics - Lattice · Physics 2011-12-23 Matthias Bach , Owe Philipsen , Christopher Pinke , Christian Schäfer , Lars Zeidlewicz

The speed, bandwidth and cost characteristics of today's PC graphics cards make them an attractive target as general purpose computational platforms. High performance can be achieved also for lattice simulations but the actual…

High Energy Physics - Lattice · Physics 2008-11-26 Gyozo I. Egri , Zoltan Fodor , Christian Hoelbling , Sandor D. Katz , Daniel Nogradi , Kalman K. Szabo

The first exploratory calculations of QCD vacuum correlation functions on a lattice are reported. Qualitative agreement with phenomenological results is obtained in channels for which experimental data are available, and these correlation…

High Energy Physics - Lattice · Physics 2007-05-23 M. -C. Chu , J. M. Grandy , S. Huang , J. W. Negele
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