S. Kim et Dk. Sinclair, EVIDENCE FOR HARD CHIRAL LOGARITHMS IN QUENCHED LATTICE QCD, Physical review. D. Particles and fields, 52(5), 1995, pp. 2614-2618
We present the first direct evidence that quenched QCD differs from fu
ll QCD in the chiral(m(q)-->0) limit, as predicted by chiral perturbat
ion theory, from our quenched lattice QCD simulations at beta = 6/g(2)
= 6.0. We measure the spectrum of light hadrons on 16(3) x 64, 24(3)
x 64, and 32(3) X 64 lattices, using staggered quarks of masses m(q) =
0.01, m(q) = 0.005, and m(q) = 0.0025. The pion masses show evidence
for logarithmic violations of the PCAC relation m(pi)(2) alpha m(q), a
s predicted by quenched chiral perturbation theory. The dependence on
spatial lattice volume precludes this being a finite size effect. No e
vidence is seen for such chiral logarithms in the behavior of the chir
al condensate [($) over bar psi psi].