Two-loop relation between the bare lattice coupling and the MSbar coupling in pure SU(N) gauge theories

Abstract

We report the result of a computation of the relation between the renormalized coupling in the MSbar scheme of dimensional regularization and the bare coupling in the standard lattice formulation of the SU(N) Yang-Mills theory to two-loop order of perturbation theory and discuss some of its implications.

10 pages, postscript file

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Cited by in corpus (40)

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• A Determination of the Lambda Parameter from Full Lattice QCD
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• A lattice determination of moments of unpolarised nucleon structure functions using improved Wilson fermions
• Background field technique and renormalization in lattice gauge theory
• Determination of ${\Lambda }_{\overline{MS}}$ from quenched and $N_f=2$ dynamical QCD
• Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
• Computation of the b-quark Mass with Perturbative Matching at the Next-to-Next-to-Leading Order
• RENORMALONS FROM EIGHT LOOP EXPANSION OF THE GLUON CONDENSATE IN LATTICE GAUGE THEORY,
• Two-Loop Computation of the Schroedinger Functional in Pure SU(3) Lattice Gauge Theory
• Non-perturbative renormalization in coordinate space for $N_f=2$ maximally twisted mass fermions with tree-level Symanzik improved gauge action
• Perturbative expansions from Monte Carlo simulations at weak coupling: Wilson loops and the static-quark self-energy
• Two Loop Computation of a Running Coupling in Lattice Yang-Mills Theory
• SMD-based numerical stochastic perturbation theory
• On the phase structure of five-dimensional SU(2) gauge theories with anisotropic couplings
• Lattice Investigations of the Running Coupling
• Non-perturbative renormalization of QCD
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• Schroedinger functional formalism with Ginsparg-Wilson fermion
• Past, present, and future of precision determinations of the QCD coupling from lattice QCD
• The lattice scale at large beta in quenched QCD
• The Asymptotic Expansion of Lattice Loop Integrals Around the Continuum Limit
• Strong coupling from non-equilibrium Monte Carlo simulations
• Direct Extraction of QCD Lambda MS-bar from e+e- Jet Observables
• Series expansions for lattice Green functions
• Schroedinger functional formalism with domain-wall fermion
• A non-perturbative mechanism for elementary particle mass generation
• Automatic generation of Feynman rules in the Schroedinger functional
• Estimation of the large order behavior of the plaquette
• Lambda-parameter of lattice QCD with Symanzik improved gluon actions
• One-loop lattice artifacts of a dynamical charm quark
• Two loop expansion of the Schroedinger functional coupling alpha_SF in SU(3) lattice gauge theory
• Running of the SF-coupling with four massless flavours
• Probing QCD perturbation theory at high energies with continuum extrapolated lattice data