High Energy Physics - Lattice
[Submitted on 18 Mar 2017 (v1), last revised 29 Sep 2017 (this version, v2)]
Title:Lattice calculation of coordinate-space vector and axial-vector current correlators in QCD
View PDFAbstract:We study the vector and axial-vector current correlators in perturbative and non-perturbative regimes of QCD. The correlators in Euclidean coordinate space are calculated on the lattice using the Möbius domain-wall fermion formulation at three lattice spacings covering 0.044--0.080~fm. The dynamical quark effects of $2+1$ light flavors are included. The sum $V+A$ and the difference $V-A$ of the vector ($V$) and axial-vector ($A$) current correlators calculated on the lattice after extrapolating to the physical point agree with those converted from the ALEPH experimental data of hadronic $\tau$ decays. The level of the agreement in the $V+A$ channel is about $1.3\sigma$ or smaller in the region of $|x|\ge0.4$~fm, while that in the $V-A$ channel is about $1.8\sigma$ at $|x|=0.74$~fm and smaller at other distances. We also extract the hiral condensate from the short-distance correlators on the lattice using the PCAC relation. Its result extrapolated to the chiral and continuum limit is compatible with other estimates at low energies.
Submission history
From: Masaaki Tomii [view email][v1] Sat, 18 Mar 2017 04:33:41 UTC (437 KB)
[v2] Fri, 29 Sep 2017 14:35:50 UTC (444 KB)
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