Ab initio determination of light hadron masses
S. Dürr,1
Z. Fodor,1,2,3
J. Frison,4
C. Hoelbling,2,3,4
R. Hoffmann,2
S. D. Katz,2,3
S. Krieg,2
T. Kurth,2
L. Lellouch,4
T. Lippert,2,5
K. K. Szabo,2
G. Vulvert4
1 John von Neumann–Institut für Computing, Deutsches
Elektronen-Synchrotron Zeuthen, D-15738 Zeuthen and Forschungszentrum
Jülich, D-52425 Jülich, Germany
2 Bergische Universität Wuppertal, Gaussstrasse 20, D-42119 Wuppertal, Germany
3 Institute for Theoretical Physics, Eötvös University, H-1117 Budapest, Hungary
4 Centre de Physique Théorique (UMR 6207 du CNRS et des
Universités d'Aix-Marseille I, d'Aix-Marseille II et du Sud Toulon-Var,
affiliée à la FRUMAM), Case 907, Campus de Luminy, F-13288, Marseille
Cedex 9, France
5 Jülich Supercomputing Centre, FZ Jülich, D-52425 Jülich, Germany
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More than 99% of the mass of the visible universe is made
up of protons and neutrons. Both particles are much heavier
than their quark and gluon constituents, and the Standard
Model of particle physics should explain this
difference. We present a full ab initio calculation of the
masses of nucleons and other light hadrons, using
lattice quantum chromodynamics. Pion masses down to 190
mega–electron volts are used to extrapolate to the
physical point, with lattice sizes of approximately four
times the inverse pion mass. Three lattice spacings
are used for a continuum extrapolation. Our results
completely agree with experimental observations and
represent a quantitative confirmation of this aspect of the
Standard Model with fully controlled
uncertainties.
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The light hadron
spectrum of QCD. Horizontal
lines and bands are
the experimental values
with their decay widths.
Our results are shown by
solid circles. Vertical error
bars represent our combined
statistical (SEM) and
systematic error estimates.
The pion, kaon and cascade have no error
bars, because they are
used to set the light quark
mass, the strange quark
mass and the overall
scale, respectively. |
More information
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In the media (English and French)
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Mass by numbers (Frank Wilczek, Nature 456 (2008) 449)
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The Weight of the World Is Quantum Chromodynamics (Andreas Kronfeld, Science 322 (2008) 1198)
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Breakthrough of the year: the runners-up (Science Magazine news
team, Science 322 (2008) 1768-1773)
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At Long Last, Physicists Calculate the Proton's Mass
(Adrian Cho, ScienceNOW 1121 (2008) 2)
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Masse du proton : le calcul est bon
(François Savatier, Pour la Science 375, janvier 2009)
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Le secret de la masse du proton est percé...
(Laurent Sacco, Futura-Sciences, 22 novembre 2008)
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Quid novi: les physiciens à la masse (Le Point, 27 novembre 2008).
- Calculating the mass of
a proton (Mark Reynolds, CNRS International Magazine 13 (2009) 11)
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Nuclear masses calculated from scratch (Philip Ball, Nature News (2008) 1246)
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More Nobel comments
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QCD: 36.5 years later (David Gross, talk at "QCD: The Modern View of
the Strong Interactions", 4-6 October 2009, Berlin)
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Theoretical visions (David Gross, talk at "Physics at the LHC 2010", 7-12 June 2010, Hamburg)
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