Poster (After Call) FZJ-2026-01059

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Taste-splittings of staggered, Karsten-Wilczek and Borici-Creutz fermions under gradient flow in 2D

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2025

The 41st International Symposium on Lattice Field Theory, LATTICE2024, LiverpoolLiverpool, UK, 28 Jul 2024 - 3 Aug 20242024-07-282024-08-03 [10.22323/1.466.0460]

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Abstract: Karsten-Wilczek and Borici-Creutz fermions show a near-degeneracy of the $2$ species involved, similar to the $2^{d/2}$ species of staggered fermions. Hence in $d=2$ dimensions all three formulations happen to be minimally doubled (two species). This near-degeneracy shows up both in the eigenvalue spectrum of the respective Dirac operator and in spectroscopic quantities (e.g. the pion mass), but in the former case it is easier to quantify. We use the quenched Schwinger model to determine the low-lying eigenvalues of these fermion operators at a fixed gradient flow time $τ$ (either in lattice units or in physical units, hence keeping either $τ/a^2$ or $e^2τ$ fixed at all $β$).


Contributing Institute(s):
  1. Jülich Supercomputing Center (JSC)
Research Program(s):
  1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)

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Creative Commons Attribution-NonCommercial-NoDerivs CC BY-NC-ND 4.0 ; OpenAccess
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 Record created 2026-01-26, last modified 2026-01-27


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