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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

The status of Lattice QCD is reviewed with respect to results that are relevant to Standard Model phenomenology. I argue that in a few simple cases all (or almost all) systematic errors from the lattice calculation are under control.…

High Energy Physics - Phenomenology · Physics 2008-02-03 Aida X. El-Khadra

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

Lattice QCD is the only non-perturbative method based uniquely on the first principles of QCD. After a very simple introduction to the principles of lattice QCD, I discuss its present limitations and the type of processes it can deal with.…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. Pène

Memorizing Pierre van Baal we will shortly review his life and his scientific achievements. Starting then with some basics in gauge field topology we mainly will discuss recent efforts in determining the topological susceptibility in…

High Energy Physics - Lattice · Physics 2015-03-05 Michael Muller-Preussker

This review gives a critical assessment of the current state of lattice simulations of QCD thermodynamics and what it teaches us about hot hadronic matter. It outlines briefly lattice methods for studying QCD at nonzero temperature and zero…

High Energy Physics - Lattice · Physics 2010-01-21 Carleton DeTar

We construct an improved version of nonrelativistic QCD for use in lattice simulations of heavy quark physics, with the goal of reducing systematic errors from all sources to below 10\%. We develop power counting rules to assess the…

High Energy Physics - Lattice · Physics 2010-11-01 G. P. Lepage , L. Magnea , C. Nakhleh , U. Magnea , K. Hornbostel

We summarize the status of lattice QCD ensemble generation efforts and their data management characteristics. Namely, these proceedings combine the contributions to a dedicated parallel session during the 41st International Symposium on…

Progress by the Lattice Hadron Physics Collaboration in determining the baryon and meson resonance spectrum of QCD using Monte Carlo methods with space-time lattices is described. The extraction of excited-state energies necessitates the…

High Energy Physics - Lattice · Physics 2017-08-23 K. J. Juge , A. Lichtl , C. Morningstar , R. G. Edwards , D. G. Richards , S. Basak , S. Wallace , I. Sato , G. T. Fleming

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

Perturbative QCD uses the Faddeev-Popov gauge-fixing procedure, which leads to ghosts and the local BRST invariance of the gauge-fixed perturbative QCD action. In the asymptotic regime, where perturbative QCD is relevant, Gribov copies can…

High Energy Physics - Lattice · Physics 2017-08-23 Anthony G. Williams

The background field formalism is used to implement nonperturbative QCD contributions into diagrammatic technic at $T>0$. The leading terms both in the confining and nonconfining phase are identified at large $N_c$ and the transition…

High Energy Physics - Phenomenology · Physics 2011-08-11 Yu. A. Simonov

We summarize the status of determinations of fundamental parameters of QCD by the ALPHA Collaboration.

High Energy Physics - Phenomenology · Physics 2009-11-11 Rainer Sommer

Lattice quantum chromodynamics (QCD) will soon become the primary theoretical tool in rigorous studies of single- and multi-hadron sectors of QCD. It is truly ab initio meaning that its only parameters are those of standard model. The…

High Energy Physics - Lattice · Physics 2014-09-09 Zohreh Davoudi

I describe some of the many connections between lattice QCD and effective field theories, focusing in particular on chiral effective theory, and, to a lesser extent, Symanzik effective theory. I first discuss the ways in which effective…

High Energy Physics - Phenomenology · Physics 2015-10-09 C. Bernard

Lepton number violating meson decays, such as $M_1^- \to M_2^+\ell_1^-\ell_2^-$, provide constraints on $d=9$ $\Delta L = 2$ operators. RGE-improved bounds on the Wilson coefficients of these operators have been presented in the literature,…

High Energy Physics - Phenomenology · Physics 2025-10-30 Andrea Donini , Marcela González , Martin Hirsch , Nicolás A. Neill

We give an introduction to three topics in lattice gauge theory: I. The Schroedinger Functional and O(a) improvement. O(a) improvement has been reviewed several times. Here we focus on explaining the basic ideas in detail and then proceed…

High Energy Physics - Lattice · Physics 2007-05-23 Rainer Sommer

Models for what may lie behind the Standard Model often require non-perturbative calculations in strongly coupled field theory. This creates opportunities for lattice methods, to obtain quantities of phenomenological interest as well as to…

High Energy Physics - Lattice · Physics 2018-06-19 Benjamin Svetitsky

We review the current methods and results of lattice simulations of quantum chromodynamics at nonzero temperatures and densities. The review is intended to introduce the subject to interested nonspecialists and beginners. It includes a…

High Energy Physics - Lattice · Physics 2009-07-24 C. E. DeTar , U. M. Heller

Nonperturbative QCD corrections are important to many low-energy electroweak observables, for example the muon magnetic moment. However, hadronic corrections also play a significant role at much higher energies due to their impact on the…

High Energy Physics - Lattice · Physics 2012-06-15 Dru B. Renner , Xu Feng , Karl Jansen , Marcus Petschlies