Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2002-08-21
Phys.Rev. D66 (2002) 114504
Physics
High Energy Physics
High Energy Physics - Lattice
11 page, no figure (typo corrected, references added, conclusion clarified)
Scientific paper
10.1103/PhysRevD.66.114504
We study possibility of improving staggered fermions using various fat links in order to reduce perturbative corrections to the gauge-invariant staggered fermion operators. We prove five theorems on SU(3) projection, triviality in renormalization, multiple SU(3) projections, uniqueness and equivalence. As a result of these theorems, we show that, at one loop level, the renormalization of staggered fermion operators is identical between SU(3) projected Fat7 links and hypercubic links, as long as the action and operators are constructed by imposing the same perturbative improvement condition. In addition, we propose a new view of SU(3) projection as a tool of tadpole improvement for the staggered fermion doublers. As a conclusion, we present alternative choices of constructing fat links to improve the staggered fermion action and operators, which deserve further investigation.
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