New approach to Ginsparg-Wilson fermions
- 25 April 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 63 (11) , 114501
- https://doi.org/10.1103/physrevd.63.114501
Abstract
We expand the most general lattice Dirac operator D in a basis of simple operators. The Ginsparg-Wilson equation turns into a system of coupled quadratic equations for the expansion coefficients. Our expansion of D allows for a natural cutoff and the remaining quadratic equations can be solved numerically. The procedure allows us to find Dirac operators which obey the Ginpsparg-Wilson equation with arbitrary precision.Keywords
All Related Versions
This publication has 20 references indexed in Scilit:
- Exact chiral symmetry, topological charge and related topicsNuclear Physics B - Proceedings Supplements, 1999
- Lattice QCD without tuning, mixing and current renormalizationNuclear Physics B, 1998
- The index theorem in QCD with a finite cut-offPhysics Letters B, 1998
- More about exactly massless quarks on the latticePhysics Letters B, 1998
- Prospects for perfect actionsNuclear Physics B - Proceedings Supplements, 1998
- Exactly massless quarks on the latticePhysics Letters B, 1998
- Perfect lattice actions for quarks and gluonsNuclear Physics B, 1996
- A construction of lattice chiral gauge theoriesNuclear Physics B, 1995
- Infinitely many regulator fields for chiral fermionsPhysics Letters B, 1993
- A remnant of chiral symmetry on the latticePhysical Review D, 1982