Axial Correlation Functions in the epsilon-Regime: a Numerical Study with Overlap Fermions

We present simulation results employing overlap fermions for the axial correlation functions in the epsilon-regime of chiral perturbation theory. In this regime, finite size effects and topology play a dominant role. Their description by quenched chiral perturbation theory is compared to our numeric...

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Bibliographic Details
Published in:arXiv.org 2004-02
Main Authors: Bietenholz, W, Chiarappa, T, Jansen, K, K -I Nagai, Shcheredin, S
Format: Article
Language:English
Subjects:
Chiral dynamics
Computer simulation
Fermions
Lattices (mathematics)
Perturbation methods
Perturbation theory
Quantum chromodynamics
Quenching
Size effects
Topology
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Summary:We present simulation results employing overlap fermions for the axial correlation functions in the epsilon-regime of chiral perturbation theory. In this regime, finite size effects and topology play a dominant role. Their description by quenched chiral perturbation theory is compared to our numerical results in quenched QCD. We show that lattices with a linear extent L > 1.1 fm are necessary to interpret the numerical data obtained in distinct topological sectors in terms of the epsilon-expansion. Such lattices are, however, still substantially smaller than the ones needed in standard chiral perturbation theory. However, we also observe severe difficulties at very low values of the quark mass, in particular in the topologically trivial sector.
ISSN:2331-8422
DOI:10.48550/arxiv.0311012