Berlin 2005 – scientific programme
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HK: Physik der Hadronen und Kerne
HK 12: Theorie
HK 12.7: Talk
Friday, March 4, 2005, 18:15–18:30, TU MA041
A Nucleon in a Tiny Box — •Harald W. Grießhammer — T39, Technischen Universität München, D-85747 Garching
Chiral Perturbation Theory techniques are used to compute the nucleon mass-shift due to finite-volume and temperature effects. We interpolate between the infinite-volume limit and very small volumes (the “є-régime” 1/Λχ≪ L∼β≪ 1/mπ as first discussed by Gasser and Leutwyler). This first extension to nucleons can be used to extrapolate lattice results from temporal and spatial sizes smaller than the pion cloud and avoids the numerically costly simulation of Physics well under theoretical control. Based on the two leading orders, we discuss the convergence of the expansion as a function of the lattice size and quark masses. An extraction of the experimentally ill-determined low-energy coefficients c2, c3 of the chiral Lagrangean from lattice simulations at small volumes and a “magic” ratio β=1.22262 L is possible. Further observables are commented on.