Lambda-parameter of lattice QCD with Symanzik improved gluon actions

Abstract

We compute the ratio Lambda_L/Lambda_MS, where the scale parameter Lambda_L is associated with a lattice formulation of QCD. We consider a 3-parameter family of gluon actions, which are most frequently used for O(a) improvement a` la Symanzik. The gluon action is put togeter with standard discretizations for fermions (Wilson/clover, overlap), to provide Lambda_L for several possible combinations of fermion and gluon actions. We employ the background field technique in order to calculate the 1PI 2-point function of the background field; this leads to the coupling constant renormalization function, Z_g, at 1-loop level. Our results are obtained for an extensive range of values for the Symanzik coefficients.

11 pages, 3 figures, 3 tables

References in corpus (11)

• Exactly massless quarks on the lattice
• More about exactly massless quarks on the lattice
• Lattice QCD on Small Computers
• Computation of the relation between the bare lattice coupling and the MSbar coupling in SU(N) gauge theories to two loops
• Background field technique and renormalization in lattice gauge theory
• Two-loop relation between the bare lattice coupling and the MSbar coupling in pure SU(N) gauge theories
• The three-loop beta-fuction of QCD with the clover action
• Lambda-parameter of lattice QCD with the overlap-Dirac operator
• Unquenching effects on the coefficients of the Lüscher-Weisz action
• One-loop renormalisation of quark bilinears for overlap fermions with improved gauge actions
• The Lattice $\Lambda$ Parameter in Domain Wall QCD

Cited by in corpus (6)

• Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions
• A non-perturbative mechanism for elementary particle mass generation
• Numerical study of tree-level improved lattice gradient flows in pure Yang-Mills theory
• Automatic generation of Feynman rules in the Schroedinger functional
• Relation between bare lattice coupling and MSbar coupling at one loop with general lattice fermions
• Perturbative determination of $\mathcal{O}(am)$ improvement on the QCD running coupling