Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-11-27
PoS LATTICE2008:213,2008
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 1 figure. Talk presented at the XXVI International Symposium on Lattice Field Theory, July 14-19, 2008, Williamsburg,
Scientific paper
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 $\bar\Psi\Gamma\Psi$, where $\Gamma$ 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.
Constantinou Martha
Panagopoulos Haralambos
Stylianou Fotos
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