Lattice Investigations of the Running Coupling

Abstract

A review of investigations of running couplings using lattice techniques is given. This includes i) studies of the running of particular non-perturbatively defined renormalized couplings in pure gauge theories over a range of energies, and ii) how estimates of ${\alpha }_{\overline{MS}}(m_Z)$ in lattice QCD are presently obtained.

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Cited by in corpus (13)

• The 2009 World Average of ${\alpha }_s$
• Determination of the QCD Coupling ${\alpha }_s$
• On the running coupling constant in QCD
• Experimental Tests of Asymptotic Freedom
• Two Loop Computation of the Schroedinger Functional in Lattice QCD
• Asymptotic scaling of the gluon propagtor on the lattice
• Quark-gluon vertex from lattice QCD
• Precise determination of the strong coupling constant in Nf=2+1 lattice QCD with the Schrödinger functional scheme
• Determination of ${\Lambda }_{\overline{MS}}$ from quenched and $N_f=2$ dynamical QCD
• Static potential, force, and flux-tube profile in 4D compact U(1) lattice gauge theory with the multi-level algorithm
• Alpha_S from Upsilon Spectroscopy with Dynamical Wilson Fermions
• Quark-gluon vertex in a momentum subtraction scheme
• Schr"odinger functional at negative flavour number