Domain wall fermions with improved gauge actions
Abstract
We study the chiral properties of quenched domain wall fermions with several gauge actions. We demonstrate that the residual chiral symmetry breaking, which is present for a finite number of lattice sites in the fifth dimension (L_{s}), can be substantially suppressed using improved gauge actions. In particular the Symanzik action, the Iwasaki action, and a renormalization group improved gauge action, called the doubly blocked Wilson (DBW2) action, are studied and compared to the Wilson action. All improved gauge actions studied show a reduction in the additive residual quark mass m_{res}. Remarkably, in the DBW2 case m_{res} is roughly two orders of magnitude smaller than the Wilson gauge action at a^{1}=2 GeV and L_{s}=16. Significant reduction in m_{res} is also realized at stronger gauge coupling corresponding to a^{1}=1.3 GeV. As our numerical investigation indicates, this reduction is achieved by reducing the number of topological lattice dislocations present in the gauge field configurations. We also present detailed results for the quenched light hadron spectrum and the pion decay constant using the DBW2 gauge action.
 Publication:

Physical Review D
 Pub Date:
 April 2004
 DOI:
 10.1103/PhysRevD.69.074504
 arXiv:
 arXiv:heplat/0211023
 Bibcode:
 2004PhRvD..69g4504A
 Keywords:

 11.15.Ha;
 11.30.Rd;
 12.38.Gc;
 12.38.Aw;
 Lattice gauge theory;
 Chiral symmetries;
 Lattice QCD calculations;
 General properties of QCD;
 High Energy Physics  Lattice
 EPrint:
 50 pages, 25 figures, RevTeX formated, minor corrections