Fermionic correlation functions from the staggered Schrödinger functional

Details Fermionic correlation functions from the staggered Schrödinger functional Fermionic correlation functions from the staggered Schrödinger functional

2008-10-21

arxiv.org/abs/0810.3866v1

PoS LATTICE2008:221,2008

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 2 figures

Scientific paper

We consider the Schr\"odinger 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 $(L/2a)^3 \times (T'/2a)$, with $T' = T \pm a$. The continuum limit is then defined at fixed $T'/L$. 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.

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