Fermionic correlation functions from the staggered Schrödinger functional

Abstract

We consider the Schrödinger functional with staggered one-component fermions on a fine lattice of size $(L/a{)}^3\times (T/a)$ where $T/a$ must be an odd number. In order to reconstruct the four-component spinors, two different set-ups are proposed, corresponding to the coarse lattice having size $(L/2a{)}^3\times (T^{\prime }/2a)$, with $T^{\prime }=T\pm a$. The continuum limit is then defined at fixed $T^{\prime }/L$. Both cases have previously been investigated in the pure gauge theory. Here we define fermionic correlation functions and study their approach to the continuum limit at tree-level of perturbation theory.

Comments: 7 pages, 2 figures