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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…

核理论 · 物理学 2017-08-23 D. G. Richards

The status of lattice calculations in Quantum Field Theory is reviewed. A major part is devoted to recent progress in formulating exact chiral symmetry on the lattice. Another topic which has received a lot of attention is the influence of…

高能物理 - 唯象学 · 物理学 2007-05-23 Hartmut Wittig

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…

高能物理 - 唯象学 · 物理学 2007-05-23 C. Michael

These notes aim to provide a pedagogical introduction to Lattice QCD. The topics covered include the scope of LQCD calculations, lattice discretization of gauge and fermion (naive, Wilson, and staggered) actions, doubling problem, improved…

高能物理 - 格点 · 物理学 2007-05-23 Rajan Gupta

These lectures provide an introduction to lattice methods for nonperturbative studies of Quantum Chromodynamics. Lecture 1 (Ch. 2): Basic techniques for QCD and results for hadron spectroscopy using the simplest discretizations; lecture 2…

高能物理 - 唯象学 · 物理学 2016-09-06 T. DeGrand

Effective field theories provide a formalism for categorizing low-energy effects of a high-energy fundamental theory in terms of the low-energy degrees of freedom. This process has been well established in mapping the fundamental theory of…

高能物理 - 格点 · 物理学 2015-03-17 Michael I. Buchoff

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…

高能物理 - 格点 · 物理学 2015-05-20 Thomas DeGrand

In the last century the non-perturbative regularization of chiral fermions was a long-standing problem. We review how this problem was finally overcome by the formulation of a modified but exact form of chiral symmetry on the lattice. This…

高能物理 - 格点 · 物理学 2011-09-28 Wolfgang Bietenholz

These lectures describe the use of effective field theories to extrapolate results from the parameter region where numerical simulations of lattice QCD are possible to the physical parameters (physical quark masses, infinite volume,…

高能物理 - 格点 · 物理学 2007-05-23 Stephen. R. Sharpe

This work discusses reliability, possible obstacles and the future perspective of chiral extrapolation of lattice results. In the first part, chiral perturbation theory fits to lattice calculations of the nucleon mass are thoroughly…

高能物理 - 格点 · 物理学 2007-05-23 Bernhard U. Musch

I review the results of hadron spectroscopy calculations from lattice QCD for an intended audience of low energy hadronic physicists. I briefly introduce the ideas of numerical lattice QCD. The various systematic errors, such as the lattice…

高能物理 - 格点 · 物理学 2016-11-23 Craig McNeile

Lattice gauge theory and chiral perturbation theory are among the primary tools for understanding non-perturbative aspects of QCD. I review several subtle and sometimes controversial issues that arise when combining these techniques. Among…

高能物理 - 格点 · 物理学 2013-09-25 Michael Creutz

This is a review of hadron structure physics from lattice QCD. Throughout this report, we place emphasis on the contribution of lattice results to our understanding of a number of fundamental physics questions related to, e.g., the origin…

高能物理 - 格点 · 物理学 2010-04-29 Ph. Hägler

Determining the hadron spectrum and hadron properties beyond the ground states is a challenge in lattice QCD. Most of these results have been in the quenched approximation but now we are entering the dynamical era. I review some of the…

核理论 · 物理学 2008-11-26 C. B. Lang

We review a number of topics related to block variable renormalisation group transformations of quantum fields on the lattice, and to the emerging perfect lattice actions. We first illustrate this procedure by considering scalar fields.…

高能物理 - 格点 · 物理学 2008-11-26 W. Bietenholz

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…

高能物理 - 格点 · 物理学 2009-10-31 C. R. Allton

The intention of these lecture notes is to outline the basics of lattice hadron spectroscopy to students from other fields of physics, e.g. from experimental particle physics, who do not necessarily have a background in quantum field…

高能物理 - 格点 · 物理学 2013-10-08 Johannes Weber , Stefan Diehl , Till Kuske , Marc Wagner

This chapter provides a pedagogical introduction to theoretical studies of hadrons based on the fundamental theory of strong interactions - Quantum ChromoDynamics. A perturbative expansion in the strong coupling is not applicable at…

高能物理 - 格点 · 物理学 2025-05-16 Sasa Prelovsek

Chiral dynamics makes definitive predictions for the electromagnetic polarizabilities of hadrons near the chiral limit; but, agreement with experiment is tenuous in some cases. We provide an overview of lattice QCD methods to compute the…

高能物理 - 格点 · 物理学 2013-01-22 B. C. Tiburzi

We sketch the basic ideas of the lattice regularization in Quantum Field Theory, the corresponding Monte Carlo simulations, and applications to Quantum Chromodynamics (QCD). This approach enables the numerical measurement of observables at…

高能物理 - 唯象学 · 物理学 2016-08-24 Wolfgang Bietenholz
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