Approximate Ginsparg-Wilson fermions: A first test
Christof Gattringer, Ivan Hip, C. B. Lang
TL;DR
This paper develops an approximate solution to the Ginsparg-Wilson equation for lattice fermions, analyzing its spectral properties across different gauge configurations to improve lattice QCD simulations.
Contribution
It introduces a systematic expansion method to construct an approximate Ginsparg-Wilson fermion operator and analyzes its spectral properties.
Findings
Improved spectral properties with better gauge actions
Constructed an approximate solution to the Ginsparg-Wilson equation
Analyzed spectral behavior across various lattice ensembles
Abstract
We construct a 4-d lattice Dirac operator D using a systematical expansion in terms of simple operators on the lattice. The Ginsparg-Wilson equation turns into a system of coupled equations for the expansion coefficients of D. We solve these equations for a finite parametrization of D and find an approximate solution of the Ginsparg-Wilson equation. We analyze the spectral properties of our D for various ensembles of quenched SU(3) configurations. Improving the gauge field action considerably improves the spectral properties of our D.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.