PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Vacuum Structure, Confinement, and Chiral Symmetry
Numerical investigation of automatic fine-tuning in the Schwinger model
N. Pielmeier*, N. Chreim, C. Hoelbling and L. Varnhorst
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Pre-published on: February 13, 2023
Published on: April 06, 2023
We perform a numerical investigation of the fine splitting of the pseudoscalar meson mass in the Schwinger model. We use overlap fermions at a single lattice spacing and in a mass range, where the analytic prediction $M_{\pi} = 2.008...\; m_f^{2/3}$ is satisfied. We then check the prediction of an exponential suppression of the fine splitting in the fermion mass. We generically find behavior compatible with exponential suppression, but with a prefactor that seems to substantially differ from a leading order expansion.
DOI: https://doi.org/10.22323/1.430.0398
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