Lattice QCD at the end of 2003

Abstract

I review recent developments in lattice QCD. I first give an overview of its formalism, and then discuss lattice discretizations of fermions. We then turn to a description of the quenched approximation and why it is disappearing as a vehicle for QCD phenomenology. I describe recent claims for progress in simulations which include dynamical fermions and the interesting theoretical problems they raise. I conclude with brief descriptions of the calculations of matrix elements in heavy flavor systems and for kaons.

Review for Int J Mod Phys A. 58 pages, latex, WSPC macros,, 22 postscript figures

References in corpus (33)

• High-Precision Lattice QCD Confronts Experiment
• Pion and Kaon masses in Staggered Chiral Perturbation Theory
• Precise Measurements of Direct CP Violation, CPT Symmetry, and Other Parameters in the Neutral Kaon System
• Twisted-mass lattice QCD with mass non-degenerate quarks
• Pseudoscalar Decay Constants in Staggered Chiral Perturbation Theory
• Lattice QCD in the epsilon-regime and random matrix theory
• Dynamical overlap fermions, results with hybrid Monte-Carlo algorithm
• The RHMC Algorithm for 2 Flavours of Dynamical Staggered Fermions
• Quenched spectroscopy with fixed-point and chirally improved fermions
• B-Bbar mixing in unquenched lattice QCD
• Localization in Lattice QCD
• Staggered versus overlap fermions: a study in the Schwinger model with $N_f=0,1,2$
• Heavy Quarks and Lattice QCD
• Actions for dynamical fermion simulations: are we ready to go?
• Heavy quark masses in the continuum limit of quenched Lattice QCD
• Axial Correlation Functions in the epsilon-Regime: a Numerical Study with Overlap Fermions
• Evidence for Instanton-Induced Dynamics, from Lattice QCD
• Chiral Logs in Quenched QCD
• Heavy--light decay constants in the continuum limit of quenched lattice QCD
• Correlators of left charges and weak operators in finite volume chiral perturbation theory
• Higher-order perturbation theory for highly-improved actions
• B_K from quenched QCD with exact chiral symmetry
• HQET with chiral symmetry on the lattice
• Pion and kaon physics with improved staggered quarks
• Status of lattice calculations of B-meson decays and mixing
• Localization in lattice QCD (with emphasis on practical implications)
• Full QCD Algorithms towards the Chiral Limit
• Dynamical Domain Wall Fermions
• $B_K$ from twisted mass QCD
• B_K from Two-flavor Dynamical Domain Wall Fermions
• Status of the computation of fBs, fBd, xi and g
• Progress Calculating Decay Constants with NRQCD and AsqTad Actions
• Light hadron spectrum in three-flavor QCD with O(a)-improved Wilson quark action

Cited by in corpus (10)

• Staggered eigenvalue mimicry
• Staggered Chiral Perturbation Theory and the Fourth-Root Trick
• Observations on staggered fermions at non-zero lattice spacing
• Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe
• Locality of the fourth root of the Staggered-fermion determinant: renormalization-group approach
• Effective field theories for QCD with rooted staggered fermions
• On the fourth root prescription for dynamical staggered fermions
• Toward a systematic analysis of the fourth-root trick
• The locality problem for two tastes of staggered fermions
• Hybrid meson decay from lattice QCD