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These notes aim to provide a pedagogical introduction to Lattice QCD. The topics covered include the scope of LQCD calculations, lattice discretization of gauge and fermion (naive, Wilson, and staggered) actions, doubling problem, improved…

High Energy Physics - Lattice · Physics 2007-05-23 Rajan Gupta

Simulating lattice QCD with chiral fermions and indeed using Domain Wall Fermions continues to be challenging project however large are concurrent computers. One obvious bottleneck is the slow pace of prototyping using the low level coding…

High Energy Physics - Lattice · Physics 2007-05-23 Artan Borici

UKQCD's dynamical fermion project uses the Generalised Hybrid Monte-Carlo (GHMC) algorithm to generate QCD gauge configurations for a non-perturbatively O(a) improved Wilson action with two degenerate sea-quark flavours. We describe our…

High Energy Physics - Lattice · Physics 2009-10-30 Z. Sroczynski , S. M. Pickles , S. P. Booth

The lattice regularization of QCD provides us with the most systematic way of computing non-perturbative properties of hadrons directly from the first principles of QCD. The recent rapid development of parallel computers has enabled us to…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. Kanaya

In the last couple of years, there has been big progress in finite temperature QCD on the lattice. Large-scale dynamical simulations of 2+1 flavor QCD with various improved staggered quark actions have been started to produce results for…

High Energy Physics - Lattice · Physics 2015-03-17 Kazuyuki Kanaya

Recent researches on robotics have shown significant improvement, spanning from algorithms, mechanics to hardware architectures. Robotics, including manipulators, legged robots, drones, and autonomous vehicles, are now widely applied in…

Robotics · Computer Science 2021-03-08 Zishen Wan , Bo Yu , Thomas Yuang Li , Jie Tang , Yuhao Zhu , Yu Wang , Arijit Raychowdhury , Shaoshan Liu

A status report on FASTSUM's programme of computing spectral quantities in thermal QCD, using anisotropic lattice simulations with $N_f=2+1$ flavours of Wilson fermions, is given. We provide in particular some details of the next generation…

High Energy Physics - Lattice · Physics 2018-12-20 Gert Aarts , Chris Allton , Jonas Glesaaen , Simon Hands , Benjamin Jäger , Jonivar Skullerud

The Quantum Lattice Boltzmann Method (QLBM) is one of the most promising approaches for realizing the potential of quantum computing in simulating computational fluid dynamics. Many recent works mostly focus on classical simulation, and…

Quantum Physics · Physics 2025-04-23 Apurva Tiwari , Jason Iaconis , Jezer Jojo , Sayonee Ray , Martin Roetteler , Chris Hill , Jay Pathak

We present $\texttt{SIMULATeQCD}$, HotQCD's software for performing lattice QCD calculations on GPUs. Started in late 2017 and intended as a full replacement of the previous single GPU lattice QCD code used by the HotQCD collaboration, our…

PLQCD is a stand-alone software library developed under PRACE for lattice QCD. It provides an implementation of the Dirac operator for Wilson type fermions and few efficient linear solvers. The library is optimized for multi-core machines…

High Energy Physics - Lattice · Physics 2014-05-06 A. Abdel-Rehim , C. Alexandrou , N. Anastopoulos , G. Koutsou , I. Liabotis , N. Papadopoulou

We discuss recent algorithmic improvements in simulating finite temperature QCD on a lattice. In particular, the Rational Hybrid Monte Carlo(RHMC) algorithm is employed to generate lattice configurations for 2+1 flavor QCD. Unlike the…

High Energy Physics - Lattice · Physics 2008-11-26 M. Cheng , M. A. Clark , C. Jung , R. D. Mawhinney

Lattice fermions with suppressed high momentum modes solve the ultraviolet slowing down problem in lattice QCD. This paper describes a stochastic evaluation of the effective action of such fermions. The method is a based on the Lanczos…

High Energy Physics - Lattice · Physics 2008-11-26 Artan Borici

I report the status of the dynamical overlap fermion project by the JLQCD and TWQCD collaborations. So far, the simulations have been completed with two flavors of overlap sea quarks in a wide range of sea quark mass corresponding the…

High Energy Physics - Lattice · Physics 2019-08-14 Hideo Matsufuru

We present an OpenCL-based Lattice QCD application using a heatbath algorithm for the pure gauge case and Wilson fermions in the twisted mass formulation. The implementation is platform independent and can be used on AMD or NVIDIA GPUs, as…

High Energy Physics - Lattice · Physics 2013-09-09 Matthias Bach , Volker Lindenstruth , Owe Philipsen , Christopher Pinke

The past decade has witnessed a dramatic acceleration of lattice quantum chromodynamics calculations in nuclear and particle physics. This has been due to both significant progress in accelerating the iterative linear solvers using…

High Energy Physics - Lattice · Physics 2016-12-26 M. A. Clark , Bálint Joó , Alexei Strelchenko , Michael Cheng , Arjun Gambhir , Richard Brower

We investigate L\"uscher's method of including dynamical Wilson fermions in a lattice simulation of QCD with two quark flavours. We measure the accuracy of the approximation by comparing it with Hybrid Monte Carlo results for gauge…

High Energy Physics - Lattice · Physics 2009-10-28 C. Alexandrou , A. Borrelli , Ph. de Forcrand , A. Galli , F. Jegerlehner

We develop an implementation for a recently proposed Noisy Monte Carlo approach to the simulation of lattice QCD with dynamical fermions by incorporating the full fermion determinant directly. Our algorithm uses a quenched gauge field…

High Energy Physics - Lattice · Physics 2009-11-07 B. Joo , I. Horvath , K. F. Liu

It is possible to numerically solve QCD in the planar limit using standard numerical techniques on existing computer clusters. The basic ideas behind the computational strategy an recent numerical results in the fermionic sector of large N…

High Energy Physics - Lattice · Physics 2017-08-23 R. Narayanan , H. Neuberger

We discuss how the peculiar properties of maximally twisted Wilson fermions can be exploited to set up a consistent LQCD computational scheme in which the CP-conserving matrix elements of the $\Delta S =1,2$ effective weak Hamiltonian can…

High Energy Physics - Lattice · Physics 2016-09-01 Roberto Frezzotti , Giancarlo Rossi

The status of lattice calculations of heavy quark phenomenology is reviewed. Particular emphasis is placed on the understanding and control of the calculational uncertainties. The ensuing implications for constraining the CKM matrix…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sinead Ryan
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