Scale setting, sigma terms and the Feynman-Hellman theorem
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(Published version)
Date
2012
Authors
Shanahan, P.
Thomas, A.
Young, R.
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Conference paper
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PoS (Lattice 2012); 165
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P.E. Shanahan, A.W. Thomas and R.D. Young
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International Symposium on Lattice Field Theory (30th : 2012 : Cairns, Australia)
Abstract
The authors recently presented new values for the octet baryon sigma terms. These were extracted using the Feynman-Hellman theorem from a chiral perturbation theory fit to octet baryon mass data from the PACS-CS collaboration. Of particular interest is the precise determination of the strangeness sigma term δs = 21±6 MeV. In this work, we elaborate on the critical effect which the choice of scale setting has on this value. We discuss the prospect that the comparison of direct and 'spectrum' determinations of the sigma terms from the lattice can provide insight not only into scale setting on the lattice, but into QCD itself.
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