Computation of the improvement coefficient $c_{\rm sw}$ to 1-loop with improved gluon actions

Peter Weisz (Max-Planck-Institut fuer Physik); Roberto Frezzotti; Sinya Aoki (Institute of Physics; University of Tsukuba)

arxiv: hep-lat/9808007 · v1 · submitted 1998-08-07 · ✦ hep-lat

Computation of the improvement coefficient c_(rm sw) to 1-loop with improved gluon actions

Sinya Aoki (Institute of Physics , University of Tsukuba) , Roberto Frezzotti , Peter Weisz (Max-Planck-Institut fuer Physik) This is my paper

classification ✦ hep-lat

keywords improvedloopactionscoefficientcomputedgluonimprovementperturbation

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The coefficient $c_{\rm sw}$ appearing in the Sheikholeslami-Wohlert improved action is computed to one loop perturbation theory for improved gluon actions including six-link loops. The O($a$) improvement coefficients for the dimension three isovector composite operators bilinear in the quark fields are also computed to one loop order of perturbation theory with degenerate non-vanishing quark masses.

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