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|Title:||QCD in the δ-regime|
|Other Titles:||QCD in the delta-regime|
|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|
|Series/Report no.:||Journal of Physics Conference Series|
|Conference Name:||Mexican School of Particles and Fields (08 Nov 2010 - 12 Nov 2010 : Mexico)|
|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|
|Appears in Collections:||Chemistry and Physics publications|
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