Non-perturbative Renormalization in Lattice Field Theory

Abstract

I review the strategies which have been developped in recent years to solve the non-perturbative renormalization problem in lattice field theories. Although the techniques are general, the focus will be on applications to lattice QCD. I discuss the momentum subtraction and finite volume schemes, and their application to scale dependent renormalizations. The problem of finite renormalizations is illustrated with the example of explicit chiral symmetry breaking, and I give a short status report concerning Symanzik's improvement programme to O($a$).

Lattice 2000 (Plenary), 16 pages Latex using espcrc2.sty, 12 postscript figures included, to appear in the conference proceedings of Lattice 2000, Bangalore, India

Cited by in corpus (14)

• 50 Years of Quantum Chromodynamics
• Supersymmetric Yang-Mills theory on the lattice
• Precise determination of the strong coupling constant in Nf=2+1 lattice QCD with the Schrödinger functional scheme
• A precise determination of the charm quark's mass in quenched QCD
• The chirally rotated Schrödinger functional with Wilson fermions and automatic O(a) improvement
• Non-perturbative renormalization of quark mass in Nf=2+1 QCD with the Schroedinger functional scheme
• The Schroedinger functional coupling in quenched QCD at low energies
• Schroedinger functional formalism with Ginsparg-Wilson fermion
• Precise determination of $B_K$ and light quark masses in quenched domain-wall QCD
• Schroedinger functional formalism with domain-wall fermion
• The charm quark's mass in quenched QCD
• Non-perturbative calculation of $Z_V$ and $Z_A$ in domain-wall QCD on a finite box
• Matrix Elements of Light Quarks
• The effect of sea quarks on the mass of the charm quark from Lattice QCD