1994/09/14 by Shunji Miyazaki, Miyazaki, Shunji, Yoshio Kikukawa +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #hep-lat
paper · pdf · doi:10.48550/arxiv.hep-lat/9409011
23 pages, using REVTeX, KUNS-1288
arxiv created 1994/09/14 · openalex publication_date 1994/09/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The fermionic part of the Schrödinger 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.