München 2006 – wissenschaftliches Programm

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HK: Physik der Hadronen und Kerne

HK 5: Theorie

HK 5.2: Vortrag

Montag, 20. März 2006, 14:15–14:30, B

Chiral extrapolations of lattice QCD results: perspectives and uncertainties — •Bernhard Musch, Massimiliano Procura, Thomas Hemmert, and Wolfram Weise — Institute for Theoretical Physics (T39), TU München, Germany

Lattice QCD calculations are so far performed with up- and down- quark masses typically more than 5 times as large as their physical values; nevertheless they provide valuable input for the determination of parameters of chiral effective field theory. The quark mass dependence of the nucleon mass [1] can be successfully matched to lattice data [2]. Finite volume corrections [2] increase the data base further. We explore the statistical uncertainty and the convergence of the perturbative series. The fit function turns out to be statistically well constrained.

We also fit the one-loop formulae [3] to pion and kaon mass data from MILC [4] and discuss the validity of the Gell-Mann - Oakes - Renner relation.

Supported in part by BMBF and DFG.

[1] M. Procura, T. Hemmert, W. Weise, Phys. Rev. D69 (2004) 034505

[2] A. Ali Khan et al., Nucl. Phys. B689 (2004) 175-194

[3] J. Gasser, H. Leutwyler, Nucl. Phys. B250 (1985) 465

[4] C. Aubin et al., Phys. Rev. D70 (2004) 094505