Regularizing QCD with staggered fermions and the fourth root trick
| dc.creator | Bernard, Claude | |
| dc.creator | Golterman, Maarten | |
| dc.creator | Shamir, Yigal | |
| dc.date | 2006-09-29 | |
| dc.date.accessioned | 2026-07-07T10:41:20Z | |
| dc.date.available | 2026-07-07T10:41:20Z | |
| dc.description | 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. | |
| dc.description | 21 pages, combined contribution to Lattice 2006 proceedings | |
| dc.identifier | https://arxiv.org/abs/hep-lat/0610003 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/0610003 | |
| dc.identifier | PoSLAT2006:205,2006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/181595 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Regularizing QCD with staggered fermions and the fourth root trick | |
| dc.type | text |