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Type: Journal article
Title: The sigma commutator from lattice QCD
Author: Wright, S.
Leinweber, D.
Thomas, A.
Citation: Nuclear Physics A, 2001; 680(01-Apr):137C-140C
Publisher: Elsevier Science BV
Issue Date: 2001
ISSN: 0375-9474
Organisation: Centre for the Sub-Atomic Structure of Matter (CSSM)
Statement of
Stewart V. Wright, Derek B. Leinweber and Anthony W. Thomas
Abstract: As a direct source of information on chiral symmetry breaking within QCD, the sigma commutator is of considerable importance. Since hadron structure is a non-perturbative problem, numerical calculations on a space-time lattice are currently the only rigorous approach. With recent advances in the calculation of hadron masses within full QCD, it is of interest to see whether the sigma commutator can be calculated directly from the dependence of the nucleon mass on the input quark mass. We show that, provided the correct chiral behaviour of QCD is respected in the extrapolation to realistic quark masses, one can indeed obtain a fairly reliable determination of the sigma commutator using present lattice data. For two-flavour dynamical fermion QCD the sigma commutator lies between 45 and 55 MeV based on recent data from CP-PACS and UKQCD.
RMID: 0020010437
DOI: 10.1016/S0375-9474(00)00403-6
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Appears in Collections:Special Research Centre for the Subatomic Structure of Matter publications

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