Determination of the quark condensate from heavy-light current-current correlators in full lattice QCD

被引:13
作者
Davies, C. T. H. [1 ]
Hornbostel, K. [2 ]
Komijani, J. [1 ]
Koponen, J. [3 ]
Lepage, G. P. [4 ]
Lytle, A. T. [1 ,3 ]
McNeile, C. [5 ]
机构
[1] Univ Glasgow, SUPA, Sch Phys & Astron, Glasgow G12 8QQ, Lanark, Scotland
[2] Southern Methodist Univ, Dallas, TX 75275 USA
[3] Univ Roma Tor Vergata, INFN, Sez Tor Vergata, Dipartimento Fis, Via Ric Sci 1, I-00133 Rome, Italy
[4] Cornell Univ, Lab Elementary Particle Phys, Ithaca, NY 14853 USA
[5] Univ Plymouth, Ctr Math Sci, Plymouth PL4 8AA, Devon, England
基金
英国科学技术设施理事会;
关键词
VACUUM POLARIZATION; SUM-RULES; MOMENTS; EXPANSION; BREAKING; MASSES;
D O I
10.1103/PhysRevD.100.034506
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We derive the operator product expansion whose vacuum expectation value gives the time moments of the pseudoscalar heavy-light current-current correlator up to and including terms in alpha(2)(s) multiplying <(psi) over bar psi >/M-3 and terms in alpha(s) multiplying <alpha(s)G(2)>/M-4, where M is the heavy quark mass. Using lattice QCD results for heavy-strange correlators obtained for a variety of heavy quark masses on gluon field configurations including u, d and s quarks in the sea at three values of the lattice spacing, we are able to show that the contribution of the strange-quark condensate to the time moments is very substantial. We use our lattice QCD time moments and the operator product expansion to determine a value for the condensate, fitting the fourth, sixth, eighth and tenth time moments simultaneously. Our result, <(s) over bars >((MS) over bar)(2 GeV) = -(296(11) MeV)(3), agrees well with HPQCD's earlier, more direct, lattice QCD determination [C. McNeile et al. (HPQCD Collaboration), Phys. Rev. D 87, 034503 (2013)]. As well as confirming that the s quark condensate is close in value to the light quark condensate, this demonstrates clearly the consistency of the operator product expansion for fully nonperturbative calculations of matrix elements of short-distance operators in lattice QCD.
引用
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页数:16
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