Continuum Limit of Lattice QCD with Staggered Quarks in the Quenched Approximation: A Critical Role for the Chiral Extrapolation

Journal Article · Thu Oct 01 04:00:00 EDT 1998 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.81.3087· OSTI ID:664890

Bernard, C ^[1]; Blum, T ^[2]; DeTar, C; McNeile, C ^[3]; Gottlieb, S ^[4]; Heller, U M ^[5]; Hetrick, J E ^[6]; Rummukainen, K ^[7]; Sugar, R ^[8]; Toussaint, D ^[9]

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1. Washington University, St. Louis, Missouri 63130 (United States)
2. Brookhaven National Laboratory, Upton, New York 11973-5000 (United States)
3. University of Utah, Salt Lake City, Utah 84112 (United States)
4. Indiana University, Bloomington, Indiana 47405 (United States)
5. SCRI, The Florida State University, Tallahassee, Florida 32306-4130 (United States)
6. University of the Pacific, Stockton, California 95211-0197 (United States)
7. Nordita, Blegdamsvej 17, DK-2100 Copenhagen O/ (Denmark)
8. University of California, Santa Barbara, California 93106 (United States)
9. University of Arizona, Tucson, Arizona 85721 (United States)

We calculate the light quark spectrum of lattice QCD in the quenched approximation using staggered quarks. We take the light quark mass, infinite volume, continuum limit. With nonlinear chiral extrapolations, we find that the nucleon to {rho} mass ratio is m{sub N}thinsp/m{sub {rho}}=1.254{plus_minus}0.018{plus_minus} 0.028 , where the errors are statistical and systematic (within the quenched approximation), respectively. Since the experimental value is 1.22, our results indicate that the error due to quenching is {approx_lt}5{percent} . {copyright} {ital 1998} {ital The American Physical Society}

• OSTI ID: 664890
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 15 Vol. 81; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHIRAL SYMMETRY
LATTICE FIELD THEORY
NUCLEONS
PERTURBATION THEORY
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUARKS