The Schrödinger functional running coupling with staggered fermions

Abstract

We discuss the Schrödinger functional in lattice QCD with staggered fermions including its order $O(a)$ boundary counterterms. We relate it, in the classical continuum limit, to the Schrödinger functional as obtained in the same limit with Wilson fermions. We compute the strong coupling constant defined via the Schrödinger functional with staggered fermions at one loop and show that it agrees with the continuum running coupling constant in the Schrödinger functional formalism.

24 pages. LaTeX2e with 1 macro file and 2 postscript figures

References in corpus (10)

• The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories
• A Precise Determination of the Running Coupling in the SU(3) Yang-Mills Theory
• On the Schroedinger functional in QCD
• Computation of the Running Coupling in the SU(2) Yang-Mills Theory
• The running coupling from the QCD Schrödinger functional -- a one-loop analysis
• One-loop renormalization of the QCD Schrödinger functional
• Universality and the approach to the continuum limit in lattice gauge theory
• Coordinate space methods for the evaluation of Feynman diagrams in lattice field theory
• Improvement of the Staggered Fermion Operators
• Simple Hadronic Matrix Elements with Wilson Valence Quarks and Dynamical Staggered Fermions at $6/{\mathbf{g}}^2=5.6$

Cited by in corpus (7)

• Lattice Study of the Conformal Window in QCD-like Theories
• Lattice Study of Conformal Behavior in SU(3) Yang-Mills Theories
• Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe
• The running coupling of QCD with four flavors
• The chirally rotated Schrödinger functional with Wilson fermions and automatic O(a) improvement
• The Yang-Mills gradient flow and SU(3) gauge theory with 12 massless fundamental fermions in a colour-twisted box
• An O(a) modified lattice set-up of the Schrödinger functional in SU(3) gauge theory