The Schrödinger functional running coupling with staggered fermions and its application to many flavor QCD

Abstract

We discuss the Schrödinger functional in lattice QCD with staggered fermions and relate it, in the classical continuum limit, to the Schrödinger functional regularized 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. We compute this running coupling in the ``weak coupling phase'' of many flavor QCD numerically at several values of the bare coupling and for several system sizes from $L/a=4$ to 12. The results indicate that the $\beta$-function for 16 flavors has the opposite sign than for few flavor QCD, in agreement with a recent claim, and with the perturbative prediction.

3 pages with 2 ps figures; to appear in the proceedings of Lattice '97, Edinburgh, Scotland, July 22--26, 1997

References in corpus (5)

• A Precise Determination of the Running Coupling in the SU(3) Yang-Mills Theory
• On the Schroedinger functional in QCD
• One-loop renormalization of the QCD Schrödinger functional
• The running coupling from the QCD Schrödinger functional -- a one-loop analysis
• On Lattice QCD with Many Flavors

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• Nearly conformal gauge theories in finite volume
• Lattice tests of beyond Standard Model dynamics
• Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions
• Investigating the critical properties of beyond-QCD theories using Monte Carlo Renormalization Group matching
• Conformal or Walking? Monte Carlo renormalization group studies of SU(3) gauge models with fundamental fermions
• Comments on lattice gauge theories with infrared-attractive fixed points
• Schrödinger functional boundary conditions and improvement for N>3
• Perturbative analysis of the Neuberger-Dirac operator in the Schrödinger functional
• An O(a) modified lattice set-up of the Schrödinger functional in SU(3) gauge theory