The continuum limit of the quark mass step scaling function in quenched lattice QCD
arXiv:hep-lat/0402022 · doi:10.1088/1126-6708/2004/05/001
Abstract
The renormalisation group running of the quark mass is determined non-perturbatively for a large range of scales, by computing the step scaling function in the Schroedinger Functional formalism of quenched lattice QCD both with and without O(a) improvement. A one-loop perturbative calculation of the discretisation effects has been carried out for both the Wilson and the Clover-improved actions and for a large number of lattice resolutions. The non-perturbative computation yields continuum results which are regularisation independent, thus providing convincing evidence for the uniqueness of the continuum limit. As a byproduct, the ratio of the renormalisation group invariant quark mass to the quark mass, renormalised at a hadronic scale, is obtained with very high accuracy.
arXiv comment23 pages, 3 figures; minor changes, references added
References in corpus (28)
- Chiral symmetry and O(a) improvement in lattice QCD
- The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories
- Non-perturbative O(a) improvement of lattice QCD
- The Nf=0 heavy quark potential from short to intermediate distances
- A Precise Determination of the Running Coupling in the SU(3) Yang-Mills Theory
- Non-perturbative quark mass renormalization in quenched lattice QCD
- Precision computation of a low-energy reference scale in quenched lattice QCD
- On the Schroedinger functional in QCD
- O(a) improvement of the axial current in lattice QCD to one-loop order of perturbation theory
- Non-perturbative Heavy Quark Effective Theory
- One-loop renormalization of the QCD Schrödinger functional
- Universality and the approach to the continuum limit in lattice gauge theory
- First results on the running coupling in QCD with two massless flavours
- Universality and scaling behavior of RG gauge actions
- The running quark mass in the SF scheme and its two-loop anomalous dimension
- Two-Loop Computation of the Schroedinger Functional in Pure SU(3) Lattice Gauge Theory
- Continuous external momenta in non-perturbative lattice simulations: a computation of renormalization factors
- Universal continuum limit of non-perturbative lattice non-singlet moment evolution
- Unexpected results in asymptotically free quantum field theories
- Effective heavy-light meson energies in small-volume quenched QCD
- Nonstandard Cutoff Effects in the Nonlinear Sigma Model
- Recent results on the running coupling in QCD with two massless flavours
- Non-perturbative scale evolution of four-fermion operators
- The Schrödinger Functional and Non-Perturbative Improvement
- Running quark mass in two flavor QCD
- Simulating the Schroedinger functional with two pseudo-fermions: algorithmic study and the running mass
- Universality and RG-improved gauge actions
- Quark bilinear step scaling functions and their continuum limit extrapolation
Cited by in corpus (7)
- Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe
- Non-perturbative renormalization of static-light four-fermion operators in quenched lattice QCD
- A perturbative study of two four-quark operators in finite volume renormalization schemes
- A strategy for implementing non-perturbative renormalisation of heavy-light four-quark operators in the static approximation
- A quenched study of the Schroedinger functional with chirally rotated boundary conditions: non-perturbative tuning
- A quenched study of the Schroedinger functional with chirally rotated boundary conditions: applications
- Lattice cutoff effects for F_Ds with improved Wilson fermions - a final lesson from the quenched case