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

Abstract

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.

19 pages, 5 figures comprising 44 graphs, 3 tables -- v2: two references corrected, statistics marginally increased, contents unchanged; to appear in Nucl. Phys. B

References in corpus (2)

• Topology and the Dirac Operator Spectrum in Finite-Volume Gauge Theories
• Eta meson mass and topology in QCD with two light flavors

Cited by in corpus (5)

• Staggered versus overlap fermions: a study in the Schwinger model with $N_f=0,1,2$
• Nucleon Properties at Finite Volume: the Epsilon Prime Regime
• Quark mass effects on the topological susceptibility in QCD
• Topological susceptibility in full QCD: lattice results versus the prediction from the QCD partition function with granularity
• Topology and pion correlators -- a study in the N_f=2 Schwinger model