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  • 标题:O(a^2) corrections to the fermion propagator and fermion bilinears
  • 本地全文:下载
  • 作者:M. Constantinou ; H. Panagopoulos ; F. Stylianou
  • 期刊名称:PoS - Proceedings of Science
  • 印刷版ISSN:1824-8039
  • 出版年度:2008
  • 卷号:2008
  • 出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
  • 摘要:We present the corrections to the fermion propagator, to second order in the lattice spacing a, 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 cSW, 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(a2) corrections to matrix elements of fermion bilinear operators that have the form YGY, where G denotes all possible distinct products of Dirac matrices. These correction terms are essential ingredients for improving, to O(a2), 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. Giménez, V. Lubicz and D. Palao [1].
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