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This White Paper has been prepared as a planning document for the Division of High Energy Physics of the U. S. Department of Energy. Recent progress in lattice-based studies of physics beyond the standard model is summarized, and major…

The lattice gauge theory technique for non-perturbative calculations in QCD is reviewed. The extraction of the continuum limit of lattice results is discussed with particular examples appropriate to hadron spectroscopy (the light hadrons…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Michael

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

In this contribution I discuss a recent proposal of a novel action for lattice gauge theory for finite systems, which accommodates non-periodic spatial boundary conditions. Drawing on the summation-by-parts formulation of finite differences…

High Energy Physics - Lattice · Physics 2021-09-01 Alexander Rothkopf

The lattice technique of studying the strong interaction of matter is used to obtain predictions of the hadronic spectrum. These simulations were performed by the UKQCD collaboration using full (unquenched) QCD. Details of the results, a…

High Energy Physics - Lattice · Physics 2009-10-31 C. R. Allton

In this article we analyze a two dimensional lattice gauge theory based on a quantum group.The algebra generated by gauge fields is the lattice algebra introduced recently by A.Yu.Alekseev,H.Grosse and V.Schomerus we define and study wilson…

High Energy Physics - Theory · Physics 2009-10-28 E. Buffenoir Ph. Roche

Several physical problems in particle physics, nuclear physics, and astrophysics require information from non-perturbative QCD to gain a full understanding. In some cases the most reliable technique for quantitative results is to carry out…

High Energy Physics - Lattice · Physics 2016-11-23 Andreas S. Kronfeld

I summarize recent progress in lattice gauge theory, with particular emphasis on results from numerical simulations. A major success has been the determination of the light hadron spectrum in the quenched approximation with sufficient…

High Energy Physics - Lattice · Physics 2007-05-23 Stephen R. Sharpe

An effective field theory exists describing a very large class of biophysically interesting Coulomb gas systems: the lowest order (mean-field) version of this theory takes the form of a generalized Poisson-Boltzmann theory. Interaction…

High Energy Physics - Lattice · Physics 2008-11-26 Anthony Duncan

Wilson's formulation of lattice QCD is attractive for many reasons, but perhaps mainly because of its simplicity and conceptual clarity. Numerical simulations of the Wilson theory (and of its improved versions) tend to be extremely…

High Energy Physics - Lattice · Physics 2007-05-23 Martin Lüscher

We derive an improved lattice Hamiltonian for pure gauge theory, coupling arbitrarily distant links in the kinetic term. The level of improvement achieved is examined in variational calculations of the SU(2) specific heat in 2+1 dimensions.

High Energy Physics - Lattice · Physics 2015-06-25 J. Carlsson , J. A. L. McIntosh , B. H. J. McKellar , L. C. L. Hollenberg

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

A method is proposed for latticizing a class of supersymmetric gauge theories, including N=4 super Yang-Mills. The technique is inspired by recent work on ``deconstruction''. Part of the target theory's supersymmetry is realized exactly on…

High Energy Physics - Lattice · Physics 2009-11-07 David B. Kaplan

Some recent beyond Standard Model phenomenology is based on new strongly interacting dynamics of $SU(N)$ gauge fields coupled to various numbers of fermions. When $N=3$ these systems are analogues of QCD, although the fermion masses are…

High Energy Physics - Lattice · Physics 2018-09-11 Thomas DeGrand , Ethan Neil

As new experimental data arrive from the LHC the prospect of indirectly detecting new physics through precision tests of the Standard Model grows more exciting. Precise experimental and theoretical inputs are required to test the unitarity…

High Energy Physics - Lattice · Physics 2013-07-11 Christopher Monahan

Soon after the formulation of Quantum Chromodynamics in 1972 its regularization on Euclidean space-time lattices had been introduced by Kenneth Wilson. This paved ground for numerical studies of non-perturbative aspects of QCD, first shown…

High Energy Physics - Lattice · Physics 2022-12-27 Frithjof Karsch

We argue that quiver gauge theories with $SU(N)$ gauge groups give rise to lattice gauge theories with matter possessing fractonic properties, where the lattice is the quiver itself. This idea extends a recent proposal by Razamat. This…

High Energy Physics - Theory · Physics 2022-06-29 Sebastian Franco , Diego Rodriguez-Gomez

Over the recent years, the relatively young field of quantum simulation of lattice gauge theories - aiming at implementing simulators of gauge theories with quantum platforms, has gone through a rapid development process. It is now of…

Quantum Physics · Physics 2022-01-12 Erez Zohar

I consider a lattice model of a gauge field interacting with matrix-valued scalars in $D$ dimensions. The model includes an adjustable parameter $\s$, which plays role of the string tension. In the limit $\s=\infty$ the model coincides with…

High Energy Physics - Theory · Physics 2007-05-23 B. Rusakov

When the Lake Louise Winter Institute started twenty-five years ago, many properties of quantum chromodynamics (QCD) were believed to be true, but had not been demonstrated to be true. This talk surveys a variety of results that have been…

High Energy Physics - Phenomenology · Physics 2010-07-09 Andreas S. Kronfeld