TY - JOUR
T1 - Lattice QCD at the physical point
T2 - Light quark masses
AU - Durr, S.
AU - Fodor, Z.
AU - Hoelbling, C.
AU - Katz, S. D.
AU - Krieg, S.
AU - Kurth, T.
AU - Lellouch, L.
AU - Lippert, T.
AU - Szabo, K. K.
AU - Vulvert, G.
N1 - Funding Information:
We used HPC resources from FZ Jülich and from GENCI-[IDRIS/CCRT] grant 52275 , as well as clusters at Wuppertal and CPT. This work is supported in part by EU grants I3HP , FP7/2007-2013/ERC No. 208740 , MRTN-CT-2006-035482 ( FLAVIAnet ), DFG grants FO 502/2 , SFB-TR 55 and CNRS grants GDR 2921 and PICS 4707 .
PY - 2011/7/4
Y1 - 2011/7/4
N2 - Ordinary matter is described by six fundamental parameters: three couplings (gravitational, electromagnetic and strong) and three masses: the electron's (me) and those of the up (mu) and down (md) quarks. An additional mass enters through quantum fluctuations: the strange quark mass (ms). The three couplings and me are known with an accuracy of better than a few per mil. Despite their importance, mu, md (their average mud) and ms are far less accurately known. Here we determine them with a precision below 2% by performing ab initio lattice quantum chromodynamics (QCD) calculations, in which all systematics are controlled. We use pion and quark masses down to (and even below) their physical values, lattice sizes of up to 6 fm, and five lattice spacings to extrapolate to continuum spacetime. All necessary renormalizations are performed nonperturbatively.
AB - Ordinary matter is described by six fundamental parameters: three couplings (gravitational, electromagnetic and strong) and three masses: the electron's (me) and those of the up (mu) and down (md) quarks. An additional mass enters through quantum fluctuations: the strange quark mass (ms). The three couplings and me are known with an accuracy of better than a few per mil. Despite their importance, mu, md (their average mud) and ms are far less accurately known. Here we determine them with a precision below 2% by performing ab initio lattice quantum chromodynamics (QCD) calculations, in which all systematics are controlled. We use pion and quark masses down to (and even below) their physical values, lattice sizes of up to 6 fm, and five lattice spacings to extrapolate to continuum spacetime. All necessary renormalizations are performed nonperturbatively.
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U2 - 10.1016/j.physletb.2011.05.053
DO - 10.1016/j.physletb.2011.05.053
M3 - Article
AN - SCOPUS:79960357042
SN - 0370-2693
VL - 701
SP - 265
EP - 268
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 2
ER -