Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1997-09-30
Nucl.Phys.Proc.Suppl. 63 (1998) 248-250
Physics
High Energy Physics
High Energy Physics - Lattice
3 pages with 2 ps figures; to appear in the proceedings of Lattice '97, Edinburgh, Scotland, July 22--26, 1997
Scientific paper
10.1016/S0920-5632(97)00735-4
We discuss the Schr\"odinger functional in lattice QCD with staggered fermions and relate it, in the classical continuum limit, to the Schr\"odinger functional regularized with Wilson fermions. We compute the strong coupling constant defined via the Schr\"odinger functional with staggered fermions at one loop and show that it agrees with the continuum running coupling constant in the Schr\"odinger 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.
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