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Register a new userComputation of the improvement coefficient $c_{rm sw}$ to 1-loop with improved gluon actions
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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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We present a fully non-perturbative determination of the $O(a)$ improvement coefficient $c_{rm SW}$ in three-flavor dynamical QCD for the RG improved as well as the plaquette gauge actions, using the Schrodinger functional scheme. Results are compared with one-loop estimates at weak gauge coupling.
We determine the improvement factor $c_{SW}$ in one-loop lattice perturbation theory for the plaquette and Symanzik improved gauge actions. The fermionic action is ${mathcal{O}(a)}$ clover improved with one-time stout smearing. $c_{SW}$ is derived from the one-loop correction to the quark-quark-gluon vertex in the off-shell regime. We give a first numerical value for the one-loop contribution to the non gauge-invariant improvement coefficient $c_{NGI}$ for the quark field using the plaquette action. A discussion of mean field improvement is included.
We calculate the $O(a)$ improvement coefficient c_SW in the Sheikholeslami-Wohlert quark action for various improved gauge actions with six-link loops. We employ the conventional perturbation theory introducing the fictitious gluon mass to regularize the infrared divergence. Our results for some improved gauge actions are in agreement with those previously obtained with the Schr{o}dinger functional method.
We present the results of our perturbative calculations of the static quark potential, small Wilson loops, the static quark self energy, and the mean link in Landau gauge. These calculations are done for the one loop Symanzik improved gluon action, and the improved staggered quark action.
The studies of the quantum corrections for the anisotropy parameter,$eta(=xi_R/xi_B)$, for the improved actions, $beta (C_0 L({Plaq.}) + C_1 L({Rect.}))$, are proceeded in the medium to strong coupling region on anisotropic lattices. The global features for the $eta$ parameters as a function of $beta$ and the coefficient $C_{1}$ have been clarified. It has been found by the perturbative analysis that as $C_1$ decreases, the slope of the $eta(beta)$ becomes less steep and for the actions whose $C_{1}$ is less than -0.160, $eta$ decreases as $beta$ decreases, contrary to the case of the standard action. In the medium to strong coupling region, the $eta$ parameter begins to increase as $beta$ decreases for all $C_{1}$. This means that for the actions with $C_{1} < -0.160$, the one-loop perturbative results for $eta$ break down qualitatively and the $eta$ parameters have a dip. As a result of this dip structure the $eta$ for Iwasakis action remains close to unity in the wide range of $beta$.
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