The Leutwyler-Smilga relation on the lattice
Münster, Gernot; Wulkenhaar, Raimar
Research article (journal) | Peer reviewedAbstract
According to the Leutwyler–Smilga relation, in Quantum Chromodynamics (QCD), the topological susceptibility vanishes linearly with the quark masses. Calculations of the topological susceptibility in the context of lattice QCD, extrapolated to zero quark masses, show a remnant nonzero value as a lattice artefact. Employing the Atiyah–Singer theorem in the framework of Symanzik’s effective action and chiral perturbation theory, we show the validity of the Leutwyler–Smilga relation in lattice QCD with lattice artefacts of order a2 in the lattice spacing a.
Details about the publication
Journal: Modern Physics Letters A
Volume: 35
Issue: 01
Article number: 1950346
Status: Published
Release year: 2020
Language in which the publication is written: English
Link to the full text: https://arxiv.org/abs/1811.01668
Keywords: Lattice QCD; chiral perturbation theory; lattice quantum field theory
Authors from the University of Münster
| Münster, Gernot | Professur für Theoretische Physik (Prof. Münster) |
| Wulkenhaar, Raimar | Professur für Reine Mathematik (Prof. Wulkenhaar) |