O(a^2) corrections to the propagator and bilinears of Wilson / clover fermions
| dc.creator | Constantinou, Martha | |
| dc.creator | Panagopoulos, Haralambos | |
| dc.creator | Stylianou, Fotos | |
| dc.date | 2008-11-27 | |
| dc.date.accessioned | 2026-07-07T13:03:08Z | |
| dc.date.available | 2026-07-07T13:03:08Z | |
| dc.description | We present the corrections to the fermion propagator, to second order in the lattice spacing, O(a^2), in 1-loop perturbation theory. The fermions are described by the clover action and for the gluons we use a 3-parameter family of Symanzik improved actions. Our calculation has been carried out in a general covariant gauge. The results are provided as a polynomial of the clover parameter, and are tabulated for 10 popular sets of the Symanzik coefficients (Plaquette, Tree-level Symanzik, Iwasaki, TILW and DBW2 action). We also study the O(a^2) corrections to matrix elements of fermion bilinear operators that have the form $\barΨΓΨ$, where $Γ$ denotes all possible distinct products of Dirac matrices. These correction terms are essential ingredients for improving, to O(a^2), the matrix elements of the fermion operators. Our results are applicable also to the case of twisted mass fermions. A longer write-up of this work, including non-perturbative results, is in preparation together with V. Gimenez, V. Lubicz and D. Palao. | |
| dc.description | 7 pages, 1 figure. Talk presented at the XXVI International Symposium on Lattice Field Theory, July 14-19, 2008, Williamsburg, VA, USA | |
| dc.identifier | https://arxiv.org/abs/0811.4499 | |
| dc.identifier | http://arxiv.org/abs/0811.4499 | |
| dc.identifier | PoS LATTICE2008:213,2008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226692 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | O(a^2) corrections to the propagator and bilinears of Wilson / clover fermions | |
| dc.type | text |