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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

Systematic approaches to building up gauge invariant descriptions of charged fields, such as electrons or quarks, are described. Physically relevant descriptions must then be singled out from a multiplicity of possibilities and to this end…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Bagan , M. Lavelle , D. McMullan , B. Fiol , N. Roy

We study lattice QCD in the limit that the quark mass and chemical potential are simultaneously made large, resulting in a controllable density of quarks which do not move. This is similar in spirit to the quenched approximation for zero…

High Energy Physics - Lattice · Physics 2009-10-28 Thomas C. Blum , James E. Hetrick , Doug Toussaint

We analyze the topological structure of quenched QCD in the presence of static color sources. Distributions of the topological charge density around static quarks and mesons are computed in both phases of QCD. We observe a suppression of…

High Energy Physics - Lattice · Physics 2008-11-26 Manfried Faber , Harald Markum , Stefan Olejnik , Wolfgang Sakuler

While lattice QCD allows for reliable results at small momentum transfers (large quark separations), perturbative QCD is restricted to large momentum transfers (small quark separations). The latter is determined up to a reference momentum…

High Energy Physics - Phenomenology · Physics 2018-12-18 Felix Karbstein , Marc Wagner , Michelle Weber

We have measured the hadron spectrum in lattice QCD, using staggered fermions, for 0 (the quenched approximation), 2 and 4 light degenerate dynamical quarks. In addition to earlier results involving extrapolations in valence quark masses…

High Energy Physics - Lattice · Physics 2009-10-30 Robert D. Mawhinney

We investigate quantum chromodynamics with two colors at nonvanishing density using Dyson-Schwinger equations. Lattice methods do not have a complex action problem in this theory. Thus, we can benchmark our results and the effect of…

High Energy Physics - Phenomenology · Physics 2020-01-29 Romain Contant , Markus Q. Huber

A recently developed model for the QCD analytic invariant charge is compared with quenched lattice simulation data on the static quark-antiquark potential. By employing this strong running coupling one is able to obtain the confining…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Nesterenko

There are three quarks with masses at or below the characteristic scale of QCD dynamics: up, down and strange. However, twisted mass lattice QCD relies on quark doublets. Various options for including three quark flavors within the twisted…

High Energy Physics - Lattice · Physics 2008-11-26 Abdou M. Abdel-Rehim , Randy Lewis , R. M. Woloshyn , Jackson M. S. Wu

Topological properties of the vacuum were investigated in finite-temperature lattice QCD without and with dynamical quarks using a local operator of topological charge density and a variant of cooling. Below the deconfinement temperature…

High Energy Physics - Lattice · Physics 2007-05-23 M. Faber , H. Markum , S. Olejnik , W. Sakuler

An outstanding goal of physics is to find solutions that describe hadrons in the theory of strong interactions, Quantum Chromodynamics (QCD). For this goal, the light-front Hamiltonian formulation of QCD (LFQCD) is a complementary approach…

Lattice Quantum Chromodynamics (QCD) is an approach used by theoretical physicists to model the strong nuclear force. This works at the sub-nuclear scale to bind quarks together into hadrons including the proton and neutron. One of the long…

High Energy Physics - Lattice · Physics 2018-12-27 Dean P. Thomas , Rita Borgo , Hamish Carr , Simon Hands

We study the color-dependent confining forces between two quarks by the quenched lattice simulations of Coulomb gauge QCD. The color-singlet and color-antitriplet instantaneous potentials yield attractive forces. The ratio of the string…

High Energy Physics - Lattice · Physics 2008-11-26 Y. Nakagawa , A. Nakamura , T. Saito , H. Toki

Lattice Gauge Theory enables an ab initio study of the low-energy properties of Quantum Chromodynamics, the theory of the strong interaction. I begin these lectures by presenting the lattice formulation of QCD, and then outline the…

Nuclear Theory · Physics 2017-08-23 D. G. Richards

This talk is a review of our studies of instantons and their properties as seen in our lattice simulations of SU(2) gauge theory. We have measured the topological susceptibility and the size distribution of instantons in the QCD vacuum. We…

High Energy Physics - Lattice · Physics 2016-09-01 T. DeGrand , Anna Hasenfratz , Tamas Kovacs

Recent results for the spectrum of light hadrons provide clear evidence for the failure of quenched QCD and encouraging signs that simulations with dynamical sea quarks rectify some of the discrepancies, although string breaking has not yet…

High Energy Physics - Lattice · Physics 2009-10-31 R. D. Kenway

Starting from the QCD Lagrangian we derive the effective action for massive quark and antiquark at large distances, corresponding to the minimal area low of the Wilson loop. The path integral method is used to quantize the system and the…

High Energy Physics - Phenomenology · Physics 2009-07-28 A. Yu. Dubin , A. B. Kaidalov , Yu. A. Simonov

This review provides a comprehensive summary of results on the physics of strongly interacting matter in the presence of background electromagnetic fields, obtained via numerical lattice simulations of the underlying theory, Quantum…

High Energy Physics - Lattice · Physics 2025-01-08 Gergely Endrodi

We numerically investigate the transition of the static quark-antiquark string into a static-light meson-antimeson system. Improving noise reduction techniques, we are able to resolve the signature of string breaking dynamics for n_f=2…

High Energy Physics - Lattice · Physics 2011-08-01 SESAM Collaboration , Gunnar S. Bali , Hartmut Neff , Thomas Duessel , Thomas Lippert , Klaus Schilling

We show that the effective field theory of low energy modes in dense QCD has positive Euclidean path integral measure. The complexity of the measure of QCD at finite chemical potential can be ascribed to modes which are irrelevant to the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Deog Ki Hong , Stephen D. H. Hsu