Perturbation Theory for Fat-link Fermion Actions

Abstract

We discuss weak coupling perturbation theory for lattice actions in which the fermions couple to smeared gauge links. The normally large integrals that appear in lattice perturbation theory are drastically reduced. Even without detailed calculation, it is easy to determine to good accuracy the scale of the logarithms that appear in cases where an anomalous dimension is present. We describe several 1-loop examples for fat-link Wilson and clover fermions. including the additive mass shift, the relation between the lattice and MSbar quark masses, and the axial current renormalization factor ($Z_A$) for light-light and static-light currents.

LATTICE99(Improvement and Renormalization); 3 pages, no figures

Cited by in corpus (26)

• Infinite N phase transitions in continuum Wilson loop operators
• Rationale for UV-filtered clover fermions
• Spectroscopy of SU(4) composite Higgs theory with two distinct fermion representations
• A variant approach to the overlap action
• Lattice Calculation of Heavy-Light Decay Constants with Two Flavors of Dynamical Quarks
• Determination of the Static Potential with Dynamical Fermions
• Short distance current correlators: Comparing lattice simulations to the instanton liquid
• Partial compositeness and baryon matrix elements on the lattice
• Calibration of Smearing and Cooling Algorithms in SU(3)-Color Gauge Theory
• Meson and Baryon dispersion relations with Brillouin fermions
• SU(4) lattice gauge theory with decuplet fermions: Schrödinger functional analysis
• Radiative contribution to the composite-Higgs potential in a two-representation lattice model
• Improved Smoothing Algorithms for Lattice Gauge Theory
• Filtered overlap: speedup, locality, kernel non-normality and Z_A~1
• Universality of large N phase transitions in Wilson loop operators in two and three dimensions
• Brillouin improvement for Wilson fermions
• Quark Hadron Duality at Finite Temperature
• Scaling and Eigenmode Tests of the Improved Fat Clover Action
• Another determination of the quark condensate from an overlap action
• Infrared fixed point and anomalous dimensions in a composite Higgs model
• Interaction potential between heavy $Q\bar{Q}$ in color octet configuration in QGP
• Searching for chiral logs in the static-light decay constant
• Brief Review of Saturation Physics
• Two Lectures on QCD at Short Distances: Jets and Factorization
• Hadron Properties with FLIC Fermions
• Stout smearing and Wilson flow in lattice perturbation theory