Determination of the Improvement Coefficient c_SW up to One-Loop Order with the Conventional Perturbation Theory

Abstract

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{ö}dinger functional method.

arXiv comment18 pages, 1 figure as eps-file

References in corpus (14)

• Non-perturbative O(a) improvement of lattice QCD
• Light Hadron Spectroscopy with Two Flavors of Dynamical Quarks on the Lattice
• O(a) improvement of the axial current in lattice QCD to one-loop order of perturbation theory
• O(a) improvement of lattice QCD with two flavors of Wilson quarks
• Quenched Light Hadron Spectrum
• Renormalization group flow of SU(3) lattice gauge theory - Numerical studies in a two coupling space
• Relativistic Heavy Quarks on the Lattice
• Light Hadron Spectrum and Quark Masses from Quenched Lattice QCD
• Comparative Study of full QCD Hadron Spectrum and Static Quark Potential with Improved Actions
• Perturbative Renormalization Factors of Bilinear Quark Operators for Improved Gluon and Quark Actions in Lattice QCD
• Computation of the improvement coefficient $c_{\mathrm{sw}}$ to 1-loop with improved gluon actions
• Perturbative calculation of improvement coefficients to O(g^2a) for bilinear quark operators in lattice QCD
• Perturbative renormalization factors in domain-wall QCD with improved gauge actions
• Non-Perturbative Determination of $c_{\mathrm{SW}}$ in Three-flavor Dynamical QCD

Cited by in corpus (12)

• Rationale for UV-filtered clover fermions
• Nonperturbative $O(a)$ improvement of the Wilson quark action with the RG-improved gauge action using the Schrödinger functional method
• Asymptotic behavior of cutoff effects in Yang-Mills theory and in Wilson's lattice QCD
• Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions
• Perturbative determination of $c_{SW}$ for plaquette and Symanzik gauge action and stout link clover fermions
• Large $N_c$ scaling of meson masses and decay constants
• Perturbative calculation of the clover term for Wilson fermions in any representation of the gauge group SU(N)
• Perturbative Determination of Mass Dependent $O(a)$ Improvement Coefficients for the Vector and Axial Vector Currents with a Relativistic Heavy Quark Action
• The $\pi \pi$ scattering amplitude at large $N_{\text{c}}$
• Perturbative determination of $\mathcal{O}(am)$ improvement on the QCD running coupling
• Calculation of $c_{\mathrm{SW}}$ at one-loop order for Brillouin fermions
• NSPT estimate of the improvement coefficient $c_A$ to two loops