QCD in a finite box: Numerical test studies in the three Leutwyler-Smilga regimes

Details QCD in a finite box: Numerical test studies in the three Leutwyler-Smilga regimes QCD in a finite box: Numerical test studies in the three Leutwyler-Smilga regimes

2000-08-30

arxiv.org/abs/hep-lat/0008022v2

Nucl.Phys. B594 (2001) 420-438

Physics

High Energy Physics

High Energy Physics - Lattice

19 pages, 5 figures comprising 44 graphs, 3 tables -- v2: two references corrected, statistics marginally increased, contents

Scientific paper

10.1016/S0550-3213(00)00658-1

The Leutwyler-Smilga prediction regarding the (ir)relevance of the global topological charge for QCD in a finite box is subject to a test. To this end the lattice version of a suitably chosen analogue (massive 2-flavour Schwinger model) is analyzed in the small ($V\Sigma m \ll 1$), intermediate ($V\Sigma m \simeq 1$) and large ($V\Sigma m \gg 1$) Leutwyler-Smilga regimes. The predictions for the small and large regimes are confirmed and illustrated. New results about the role of the functional determinant in all three regimes and about the sensitivity of physical observables on the topological charge in the intermediate regime are presented.

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