Two-loop additive mass renormalization with clover fermions and Symanzik improved gluons
Loading...
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
We calculate the critical value of the hopping parameter, $κ_c$, in Lattice QCD, up to two loops in perturbation theory. We employ the Sheikholeslami-Wohlert (clover) improved action for fermions and the Symanzik improved gluon action with 4- and 6-link loops.
The quantity which we study is a typical case of a vacuum expectation value resulting in an additive renormalization; as such, it is characterized by a power (linear) divergence in the lattice spacing, and its calculation lies at the limits of applicability of perturbation theory.
Our results are polynomial in $c_{SW}$ (clover parameter) and cover a wide range of values for the Symanzik coefficients $c_i$. The dependence on the number of colors N and the number of fermion flavors $N_f$ is shown explicitly. In order to compare our results to non perturbative evaluations of $κ_c$ coming from Monte Carlo simulations, we employ an improved perturbation theory method for improved actions.
20 pages, 8 figures, 14 tables. Phys. Rev. D77, Number 1 (2008)
20 pages, 8 figures, 14 tables. Phys. Rev. D77, Number 1 (2008)