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Lattice gauge theory is our primary tool for the study of non-perturbative phenomena in hadronic physics. In addition to giving quantitative information on confinement, the approach is yielding first principles calculations of hadronic…

High Energy Physics - Lattice · Physics 2008-11-26 Michael Creutz

Statistical modeling is a key component in the extraction of physical results from lattice field theory calculations. Although the general models used are often strongly motivated by physics, many model variations can frequently be…

Methodology · Statistics 2021-06-10 William I. Jay , Ethan T. Neil

Lattice field theory, along with its algorithmic and hardware ecosystems, has been at the forefront of computational particle and nuclear physics. It continues to deliver impressive results on the hadronic spectrum, structure, decays, and…

High Energy Physics - Lattice · Physics 2026-05-21 Zohreh Davoudi

The universality of the continuum limit and the applicability of renormalized perturbation theory are tested in the SU(2) lattice gauge theory by computing two different non-perturbatively defined running couplings over a large range of…

High Energy Physics - Lattice · Physics 2009-10-22 G. de Divitiis , R. Frezzotti , M. Guagnelli , M. Luescher , R. Petronzio , R. Sommer , P. Weisz , U. Wolff

We report on progress in setting up the International Lattice Data Grid. We describe the aims and objectives of the ILDG, what has been achieved during its first year of activity and invite feedback from the community.

High Energy Physics - Lattice · Physics 2009-11-10 A. C. Irving , R. D. Kenway , C. M. Maynard , T. Yoshie

We consider recent progress in algorithms for generating gauge field configurations that include the dynamical effects of light fermions. We survey what has been achieved in recent state-of-the-art computations, and examine the trade-offs…

High Energy Physics - Lattice · Physics 2009-11-10 A. D. Kennedy

Lattice structures have great potential for several application fields ranging from medical and tissue engineering to aeronautical one. Their development is further speeded up by the continuing advances in additive manufacturing…

Soft Condensed Matter · Physics 2025-01-13 Chiara Pasini , Oscar Ramponi , Stefano Pandini , Luciana Sartore , Giulia Scalet

The worldsheet formulation of lattice gauge theories has two appealing features: the gauge non-redundancy and the geometrical transparency. Both properties are profitable in order to perform numerical computations. In the case of dynamical…

High Energy Physics - Lattice · Physics 2009-10-30 H. Fort

Retrieval-Augmented Generation (RAG) technology has been widely applied in recent years. However, despite the emergence of various RAG frameworks, a single RAG framework still cannot adapt well to a broad range of downstream tasks.…

Artificial Intelligence · Computer Science 2025-08-20 Yifei Chen , Guanting Dong , Yutao Zhu , Zhicheng Dou

This document is one of a series of whitepapers from the USQCD collaboration. Here, we discuss opportunities for lattice field theory research to make an impact on models of new physics beyond the Standard Model, including composite Higgs,…

Over the last few years lattice techniques have been used to investigate candidate theories of new physics beyond the Standard Model. This review gives a survey of results from these studies. Most of these investigations have been of…

High Energy Physics - Phenomenology · Physics 2016-04-20 Thomas DeGrand

I review motivations for the study of supersymmetric field theories by lattice techniques. In particular, some of the more interesting potential applications are described. These are models of quantum gravity, that rely on the AdS/CFT…

High Energy Physics - Lattice · Physics 2008-11-26 Joel Giedt

A new mechanism for mass generation of gauge fields is proposed in this paper. By introducing two sets of gauge fields and making the variatons of these two sets of gauge fields compensate each other under local gauge transformations, the…

High Energy Physics - Phenomenology · Physics 2018-01-17 Ning Wu

Over the years, a plethora of cost-sensitive methods have been proposed for learning on data when different types of misclassification errors incur different costs. Our contribution is a unifying framework that provides a comprehensive and…

Machine Learning · Computer Science 2020-07-16 George Petrides , Wouter Verbeke

I give an elementary introduction to the study of gauge theories coupled to fermions with many degrees of freedom. Besides their intrinsic interest, these theories are candidates for nonperturbative extensions of the Higgs sector of the…

High Energy Physics - Lattice · Physics 2015-05-20 Thomas DeGrand

When we think of model ensembling or ensemble modeling, there are many possibilities that come to mind in different disciplines. For example, one might think of a set of descriptions of a phenomenon in the world, perhaps a time series or a…

Lattice studies of gauge theories with symplectic gauge groups provide valuable information about gauge dynamics, and complement the results of lattice investigations focused on unitary gauge groups. These theories play a central role in…

In this article, we present a new algorithm for computing a generating set of a lattice ideal. This algorithm is based on a project-and-lift approach and is implemented in 4ti2. We also include a computational comparison of several existing…

Combinatorics · Mathematics 2007-05-23 Raymond Hemmecke , Peter Malkin

We review our efforts in investigating gauge theories with fermions in the adjoint representation of the gauge group by means of numerical simulations. These theories have applications in possible extensions of the Standard Model of…

High Energy Physics - Lattice · Physics 2022-12-23 Georg Bergner , Gernot Münster , Stefano Piemonte

As a fully computational discipline, Lattice Field Theory has the potential to give results that anyone with sufficient computational resources can reproduce, going from input parameters to published numbers and plots correct to the last…

High Energy Physics - Lattice · Physics 2022-11-29 Ed Bennett