Evidence for hard chiral logarithms in quenched lattice QCD
- HEP Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439 (United States)
We present the first direct evidence that quenched QCD differs from full QCD in the chiral ({ital m}{sub {ital q}}{r_arrow}0) limit, as predicted by chiral perturbation theory, from our quenched lattice QCD simulations at {beta}=6/{ital g}{sup 2}=6.0. We measure the spectrum of light hadrons on 16{sup 3}{times}64, 24{sup 3}{times}64, and 32{sup 3}{times}64 lattices, using staggered quarks of masses {ital m}{sub {ital q}}=0.01, {ital m}{sub {ital q}}=0.005, and {ital m}{sub {ital q}}=0.0025. The pion masses show evidence for logarithmic violations of the PCAC relation {ital m}{sub {pi}}{sup 2}{proportional_to}{ital m}{sub {ital q}}, as predicted by quenched chiral perturbation theory. The dependence on spatial lattice volume precludes this being a finite size effect. No evidence is seen for such chiral logarithms in the behavior of the chiral condensate {l_angle}{bar {psi}}{psi}{r_angle}.
- Research Organization:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- DOE Contract Number:
- W-31109-ENG-38
- OSTI ID:
- 115919
- Journal Information:
- Physical Review, D, Vol. 52, Issue 5; Other Information: PBD: 1 Sep 1995
- Country of Publication:
- United States
- Language:
- English
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