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This review concentrates on progress in lattice QCD during the last two years and, particularly, its impact on phenomenology. The two main technical developments have been successful implementations of lattice actions with exact chiral…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. D. Kenway

We survey results in lattice quantum chromodynamics from groups in the USQCD Collaboration. The main focus is on physics, but many aspects of the discussion are aimed at an audience of computational physicists.

Computational Physics · Physics 2008-11-26 Andreas S. Kronfeld

We present an overview of our project of large-scale simulations with dynamical overlap fermions. The first production run in two-flavor QCD is on-going using the Iwasaki gauge action on a 16^3 \times 32 lattice at the lattice spacing of…

These lectures about lattice field theory were written for, and given at, TASI 2019, ``The many dimensions of quantum field theory.'' The students at this TASI were mostly interested in formal things, and so these are slightly unusual…

High Energy Physics - Theory · Physics 2019-07-09 Thomas DeGrand

We present technical details of an analysis of pseudo-scalar data from a QCD simulation with staggered fermions. The data were obtained close to the physical point with an inverse lattice spacing of about 3 GeV, and $N_f=2+1+1$. We compare…

High Energy Physics - Lattice · Physics 2019-10-25 Maximilian Ammer , Stephan Durr

A final goal for thimble regularization of lattice field theories is the application to lattice QCD and the study of its phase diagram. Gauge theories pose a number of conceptual and algorithmic problems, some of which can be addressed even…

High Energy Physics - Lattice · Physics 2015-12-21 F. Di Renzo , G. Eruzzi

We review many topics and results about numeric gauge fixing in lattice QCD.

High Energy Physics - Lattice · Physics 2008-11-26 L. Giusti , M. L. Paciello , C. Parrinello , S. Petrarca , B. Taglienti

Gauge theories are the cornerstone of our understanding of fundamental interactions among particles. Their properties are often probed in dynamical experiments, such as those performed at ion colliders and high-intensity laser facilities.…

We develop a new lattice gauge theory code set JuliaQCD using the Julia language. Julia is well-suited for integrating machine learning techniques and enables rapid prototyping and execution of algorithms for four dimensional QCD and other…

High Energy Physics - Lattice · Physics 2025-08-26 Yuki Nagai , Akio Tomiya

Recent progress and the latest results on the bulk thermodynamic properties of QCD matter from lattice are reviewed. In particular, I will stress upon the fact that lattice techniques are now entering into precision era where they can…

High Energy Physics - Lattice · Physics 2019-02-15 Sayantan Sharma

In this paper we demonstrate the use of multivariate topological algorithms to analyse and interpret Lattice Quantum Chromodynamics (QCD) data. Lattice QCD is a long established field of theoretical physics research in the pursuit of…

High Energy Physics - Lattice · Physics 2020-08-10 Dean P. Thomas , Rita Borgo , Robert S. Laramee , Simon J. Hands

There has been major progress in recent years in the development of improved discretizations of the QCD action, current operators, etc for use in numerical simulations that employ very coarse lattices. These lectures review the field…

High Energy Physics - Lattice · Physics 2009-10-28 G. Peter Lepage

In this work, we present a brief but insightful overview of the gauge theories, which are defined on $ n $-dimensional lattices by using finite gauge groups, in order to show how they can be interpreted as a Hamiltonian system with…

High Energy Physics - Lattice · Physics 2023-06-13 M. F. Araujo de Resende

Simulating thimble regularization of lattice field theory can be tricky when more than one thimble is to be taken into account. A couple of years ago we proposed a solution for this problem. More recently this solution proved to be…

High Energy Physics - Lattice · Physics 2017-10-20 Francesco Di Renzo

We study the Regge regime of QCD as a special regime of lattice gauge theory on an asymmetric lattice. This lattice has a spacing $a_0 $ in the longitudinal direction and a spacing $a_t $ in the transversal direction. The limit…

High Energy Physics - Theory · Physics 2011-07-19 I. Ya. Aref'eva

Monte Carlo simulations applied to the lattice formulation of quantum chromodynamics (QCD) enable a study of the theory from first principles, in a nonperturbative way. After over two decades of developments in the methodology for this…

High Energy Physics - Lattice · Physics 2007-05-23 Tereza Mendes

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

In recent years there has been much progress on the investigation of the QCD phase diagram with lattice QCD simulations. In this review I focus on the developments in the last two years. Especially the addition of external influences or new…

High Energy Physics - Lattice · Physics 2021-02-17 Jana N. Guenther

Numerical simulations have become an important tool to understand and predict non-perturbative phenomena in particle physics. In this article we attempt to present a general overview over the field. First, the basic concepts of lattice…

High Energy Physics - Lattice · Physics 2010-12-17 F. Karsch , E. Laermann

Practitioners of lattice QCD/QFT have been some of the primary pioneer users of the state-of-the-art high-performance-computing systems, and contribute towards the stress tests of such new machines as soon as they become available. As with…

High Energy Physics - Lattice · Physics 2015-02-04 Thorsten Kurth , Andrew Pochinsky , Abhinav Sarje , Sergey Syritsyn , Andre Walker-Loud