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  • Open Access

Range of topological fluctuations in the three-flavor linear sigma model

Gergely Fejős and András Patkós

  • Institute of Physics and Astronomy, Eötvös University H-1117, Pázmány Péter sétány 1/A, Budapest, Hungary

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Phys. Rev. D 112, 076013 – Published 14 October, 2025

DOI: https://doi.org/10.1103/t723-m9y3

Abstract

The topological charge density two-point function is computed in a three-flavor effective linear meson model, including contributions from topological sectors with arbitrary charge. A corresponding composite field is introduced via a Hubbard-Stratonovich transformation. In the η–η′ sector, the model yields very accurate spectroscopy with negligible mixing with the composite field. The resulting topological susceptibility allows for the extraction of a surprisingly large absolute scale for the range of topological fluctuations. When compared with various QCD-based estimates, this indirectly suggests the dominance of higher topologically charged configurations in the ground state.

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Phys. Rev. D 112, 076013– Published 14 October, 2025
  • Received 28 July 2025
  • Accepted 27 September 2025
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