Recent results from systematic parameterizations of Ginsparg-Wilson fermions
Christof Gattringer (Regensburg)
TL;DR
This paper reviews recent advances in parameterizing Ginsparg-Wilson fermions, demonstrating improved approximations in quenched QCD with light pion masses and discussing their limitations and future directions.
Contribution
It introduces new parameterizations of Ginsparg-Wilson fermions using gauge paths and Dirac structures, enhancing approximation accuracy in lattice QCD.
Findings
Successful approximation of Ginsparg-Wilson fermions at low pion masses
Comparison of Fixed Point and Chirally Improved approaches
Discussion of limitations and future improvements
Abstract
The Fixed Point Dirac Operator and Chirally Improved Fermions both use large numbers of gauge paths and the full Dirac structure to approximate a solution of the Ginsparg-Wilson equation. After a brief review of the two approaches we present recent results for quenched QCD with pion masses down to 210 MeV. We discuss the limits and advantages of approximate parameterizations and outline future perspectives.
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