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Type: Conference paper
Title: QCD in the δ-regime
Other Titles: QCD in the delta-regime
Author: Bietenholz, W.
Cundy, N.
Gockeler, M.
Horsley, R.
Nakamura, Y.
Pleiter, D.
Rakow, P.
Schierholz, G.
Zanotti, J.
Citation: Journal of Physics: Conference Series, Vol. 287, No. 1, 2011 / vol.287, iss.1, pp.012016:1-012016:10
Publisher: Institute of Physics Publishing Ltd
Publisher Place: United Kingdom
Issue Date: 2011
Series/Report no.: Journal of Physics Conference Series
ISSN: 1742-6588
Conference Name: Mexican School of Particles and Fields (08 Nov 2010 - 12 Nov 2010 : Mexico)
Statement of
W. Bietenholz, N. Cundy, M. Göckeler, R. Horsley, Y. Nakamura, D. Pleiter, P.E.L. Rakow, G. Schierholz and J.M. Zanotti (QCDSF Collaboration)
Abstract: The б-regime of QCD is characterised by light quarks in a small spatial box, but a large extent in(Euclidean)time. In this setting a specific variant of chiral perturbation theory — the б-expansion — applies, based on a quantum mechanical treatment of the quasi one dimensional system. In particular, for vanishing quark masses one obtains a residual pion mass MR, which has been computed to the third order in the б-expansion. A comparison with numerical measurements of this residual mass allows for a new determination of some Low Energy Constants, which appear in the chiral Lagrangian. We first review the attempts to simulate 2-flavour QCD directly in the б-regime. This is very tedious, but results compatible with the predictions for MR have been obtained. Then we show that an extrapolation of pion masses measured in a larger volume towards the б-regime leads to good agreement with the theoretical predictions. From those results, we also extract a value for the (controversial) sub-leading Low Energy Constant T3.
Rights: © 2010 IOP Publishing
RMID: 0020120194
DOI: 10.1088/1742-6596/287/1/012016
Appears in Collections:Chemistry and Physics publications

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