Topology and pion correlators -- a study in the N_f=2 Schwinger model

Abstract

I readdress the issue whether the topological charge of the gauge background has an influence on a hadronic observable. To this end pion correlators in the Schwinger model with 2 dynamical flavours are determined on subensembles with a fixed topological charge. It turns out that the answer depends on a specific function of the sea-quark mass and the box volume which is in close analogy to the Leutwyler-Smilga parameter in full QCD.

Lattice2001(confinement), 3 pages, 2 figures

References in corpus (2)

• Schwinger Model with the Overlap-Dirac Operator: exact results versus a physics motivated approximation
• Bound states for Overlap and Fixed Point Actions close to the chiral limit

Cited by in corpus (3)

• Staggered versus overlap fermions: a study in the Schwinger model with $N_f=0,1,2$
• Lattice Study of the Massive Schwinger Model with $\theta$ Term under Lüscher's "Admissibility" Condition
• Sum Rules for the Dirac Spectrum of the Schwinger Model