Boundary condition for Staggered Fermion in Lattice Schrödinger Functional of QCD

Details Boundary condition for Staggered Fermion in Lattice Schrödinger Functional of QCD Boundary condition for Staggered Fermion in Lattice Schrödinger Functional of QCD

1994-09-14

arxiv.org/abs/hep-lat/9409011v1

Physics

High Energy Physics

High Energy Physics - Lattice

23 pages, using REVTeX, KUNS-1288

Scientific paper

The fermionic part of the Schr\"odinger functional of QCD is formulated in the lattice regularization with the staggered fermion. The boundary condition imposed on the staggered fermion field are examined in terms of the four-component Dirac spinor. The boundary terms are different from those of the Symanzik's theory in the flavor structure due to the species doubling. It is argued that, in the case of the homogeneous Dirichlet boundary condition, surface divergence does not occur if the link variables of gauge field are introduced on the original lattice, not on the blocked one. Its application to the numerical calculation of the running coupling constant in QCD is discussed.

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