Two-loop additive mass renormalization with clover fermions and Symanzik improved gluons

Abstract

We calculate the critical value of the hopping parameter, ${\kappa }_c$, 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 ${\kappa }_c$ 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)

References in corpus (15)

• On the Viability of Lattice Perturbation Theory
• Non-perturbative O(a) improvement of lattice QCD
• Light Hadron Spectroscopy with Two Flavors of Dynamical Quarks on the Lattice
• Lattice QCD on Small Computers
• O(a) improvement of lattice QCD with two flavors of Wilson quarks
• Effects of non-perturbatively improved dynamical fermions in QCD at fixed lattice spacing
• Non-perturbative renormalization of the axial current with dynamical Wilson fermions
• Quenched QCD with O(a) improvement: I. The spectrum of light hadrons
• The Critical Mass of Wilson Fermions: A Comparison of Perturbative and Monte Carlo Results
• Two-loop renormalization of scalar and pseudoscalar fermion bilinears on the lattice
• Two-loop critical mass for Wilson fermions
• The Critical Hopping Parameter in O(a) improved Lattice QCD
• Resummation of Cactus Diagrams in Lattice QCD
• Resummation of Cactus Diagrams in the Clover Improved Lattice Formulation of QCD
• Improved Perturbation Theory for Improved Lattice Actions

Cited by in corpus (6)

• Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions
• Supersymmetric QCD on the Lattice: An Exploratory Study
• Improved Perturbation Theory for Improved Lattice Actions
• A non-perturbative mechanism for elementary particle mass generation
• High-loop perturbative renormalization constants for Lattice QCD (II): three-loop quark currents for tree-level Symanzik improved gauge action and n_f=2 Wilson fermions
• High-loop perturbative renormalization constants for Lattice QCD (III): three-loop quark currents for Iwasaki gauge action and n_f=4 Wilson fermions