Quenched lattice QCD with domain wall fermions and the chiral limit
Abstract
Quenched QCD simulations on three volumes 8^{3}×, 12^{3}× and 16^{3}×32 and three couplings β=5.7, 5.85 and 6.0 using domain wall fermions provide a consistent picture of quenched QCD. We demonstrate that the small induced effects of chiral symmetry breaking inherent in this formulation can be described by a residual mass (m_{res}) whose size decreases as the separation between the domain walls (L_{s}) is increased. However, at stronger couplings much larger values of L_{s} are required to achieve a given physical value of m_{res}. For β=6.0 and L_{s}=16, we find m_{res}/m_{s}=0.033(3), while for β=5.7, and L_{s}=48, m_{res}/m_{s}=0.074(5), where m_{s} is the strange quark mass. These values are significantly smaller than those obtained from a more naive determination in our earlier studies. Important effects of topological near zero modes which should afflict an accurate quenched calculation are easily visible in both the chiral condensate and the pion propagator. These effects can be controlled by working at an appropriately large volume. A nonlinear behavior of m^{2}_{π} in the limit of small quark mass suggests the presence of additional infrared subtlety in the quenched approximation. Good scaling is seen both in masses and in f_{π} over our entire range, with inverse lattice spacing varying between 1 and 2 GeV.
 Publication:

Physical Review D
 Pub Date:
 April 2004
 DOI:
 10.1103/PhysRevD.69.074502
 arXiv:
 arXiv:heplat/0007038
 Bibcode:
 2004PhRvD..69g4502B
 Keywords:

 12.38.Gc;
 11.15.Ha;
 11.30.Rd;
 12.38.Aw;
 Lattice QCD calculations;
 Lattice gauge theory;
 Chiral symmetries;
 General properties of QCD;
 High Energy Physics  Lattice
 EPrint:
 91 pages, 34 figures