The Lattice $\Lambda$ Parameter in Domain Wall QCD

Abstract

We evaluate the ratio of the scale parameter $\Lambda$ in domain wall QCD to the one in the continuum theory at one loop level incorporating the effect of massless quarks. We show that the Pauli-Villars regulator is required to subtract the unphysical massive fermion modes which emerge in the fermion loop contributions to the gluon self energy. Detailed results are presented as a function of the domain wall height $M$.

16 pages, 1 figure as eps-file, some references added

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Cited by in corpus (9)

• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• Non-perturbative renormalization of quark bilinear operators and B_K using domain wall fermions
• Neutral B-meson mixing from unquenched lattice QCD with domain-wall light quarks and static b-quarks
• Perturbative Determination of Mass Dependent $O(a)$ Improvement Coefficients for the Vector and Axial Vector Currents with a Relativistic Heavy Quark Action
• Perturbative renormalization of the first moment of structure functions for domain-wall QCD
• Lambda-parameter of lattice QCD with Symanzik improved gluon actions
• A formulation of domain-wall fermions in the Schrödinger functional
• Large Wilson loops with overlap and clover fermions: Two-loop evaluation of the b-quark mass shift and the quark-antiquark potential
• Construction of lattice Möbius domain wall fermions in the Schrödinger functional scheme