Regularizing QCD with staggered fermions and the fourth root trick

Details Regularizing QCD with staggered fermions and the fourth root trick Regularizing QCD with staggered fermions and the fourth root trick

2006-09-29

arxiv.org/abs/hep-lat/0610003v1

PoSLAT2006:205,2006

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, combined contribution to Lattice 2006 proceedings

Scientific paper

We investigate the properties of staggered-fermion lattice QCD in which the fourth root of the fermion determinant is taken. We show that this theory is non-local at non-zero lattice spacing $a$, and that the non-locality is caused by the breaking of taste symmetry at $a\ne 0$. We then present a renormalization-group based argument that the theory restores taste symmetry in the continuum limit. As a consequence the theory is local in that limit, and falls into the correct universality class. Finally, we argue that the correct effective theory for the physics of Goldstone bosons at $a\ne 0$ is given by staggered chiral perturbation theory with the replica trick.

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