The Lattice $Λ$ Parameter in Domain Wall QCD

Details The Lattice $Λ$ Parameter in Domain Wall QCD The Lattice $Λ$ Parameter in Domain Wall QCD

2003-06-07

arxiv.org/abs/hep-lat/0306008v2

Phys.Rev. D68 (2003) 034507

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1103/PhysRevD.68.034507

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 $M$.

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