On the fourth root prescription for dynamical staggered fermions

Abstract

With the aim of resolving theoretical issues associated with the fourth root prescription for dynamical staggered fermions in Lattice QCD simulations, we consider the problem of finding a viable lattice Dirac operator D such that (det D_{staggered})^{1/4} = det D. Working in the flavour field representation we show that in the free field case there is a simple and natural candidate D satisfying this relation, and we show that it has acceptable locality behavior: exponentially local with localisation range vanishing ~ (a/m)^{1/2} for lattice spacing a -> 0. Prospects for the interacting case are also discussed, although we do not solve this case here.

29 pages, 2 figures; some revision and streamlining of the discussions; results unchanged; to appear in PRD

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Cited by in corpus (28)

• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• $B_{(s)}^0$-mixing matrix elements from lattice QCD for the Standard Model and beyond
• Light Hadron Masses from Lattice QCD
• Update of $|V_{cb}|$ from the $\bar{B}\to D^{\ast }\ell \bar{\nu }$ form factor at zero recoil with three-flavor lattice QCD
• Staggered Chiral Perturbation Theory and the Fourth-Root Trick
• Observations on staggered fermions at non-zero lattice spacing
• Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe
• Staggered Chiral Perturbation Theory for Heavy-Light Mesons
• Locality of the fourth root of the Staggered-fermion determinant: renormalization-group approach
• Heavy-Light Semileptonic Decays in Staggered Chiral Perturbation Theory
• 't Hooft vertices, partial quenching, and rooted staggered QCD
• Staggered fermions, zero modes, and flavor-singlet mesons
• Validity of the Rooted Staggered Determinant in the continuum limit
• Jet absorption and corona effect at RHIC. Extracting collision geometry from experimental data
• Quark Hadron Duality at Finite Temperature
• The rooting issue for a lattice fermion formulation similar to staggered fermions but without taste mixing
• Background evaluations for the chiral magnetic effect with normalized correlators using a multiphase transport model
• Mixed Action Simulations on Staggered Background; Interpretation and Result for the 2-flavor QCD Chiral Condensate
• Optimised Dirac Operators on the Lattice: Construction, Properties and Applications
• Brief Review of Saturation Physics
• Taste symmetry breaking at finite temperature
• Two Lectures on QCD at Short Distances: Jets and Factorization
• The locality of the fourth root of staggered fermion determinant in the interacting case
• The chiral and flavour projection of Dirac-Kahler fermions in the geometric discretization
• Random Lattice Gauge Theories and Differential Forms
• Toward a systematic analysis of the fourth-root trick
• A 0-dimensional counter-example to rooting?
• The flavour projection of staggered fermions and the quarter-root trick