Non-perturbative QCD: renormalization, O(a)-improvement and matching to Heavy Quark Effective Theory

Abstract

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 directly to an overview of the literature and our personal assessment of what has been achieved and what is missing. II. The computation of the running coupling, running quark masses and the extraction of the renormalization group invariants. We focus on the basic strategy and on the large effort that has been invested in understanding the continuum limit. We point out what remains to be done. III. Non-perturbative Heavy Quark Effective Theory. Since the literature on this subject is still rather sparse, we go beyond the basic ideas and discuss in some detail how the theory works in principle and in practice.

arXiv commentLectures given at ILFTN Workshop on Perspectives in Lattice QCD, Nara, Japan, 31 Oct - 11 Nov 2005

Cited by in corpus (13)

• FLAG Review 2019
• The strange quark mass and Lambda parameter of two flavor QCD
• The gradient flow coupling in the Schrödinger Functional
• Studying the gradient flow coupling in the Schrödinger functional
• A proposal for B-physics on current lattices
• Asymptotic behavior of cutoff effects in Yang-Mills theory and in Wilson's lattice QCD
• Non-perturbative renormalization of the static axial current in two-flavour QCD
• Automated generation of lattice QCD Feynman rules
• Two-loop renormalization of scalar and pseudoscalar fermion bilinears on the lattice
• Chiral behavior of the B(s,d)-Bbar(s,d) mixing amplitude in the Standard Model and beyond
• Symanzik improvement of lattice QCD with four flavors of Wilson quarks
• One-loop lattice artifacts of a dynamical charm quark
• Gradient Flow: Perturbative and Non-Perturbative Renormalization