Journal Article

FZJ-2026-01058

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Eigenvalue based taste breaking of staggered, Karsten-Wilczek, and Boriçi-Creutz fermions with stout smearing in the Schwinger model

Ammer, M. ; Dürr, S. (Corresponding author)FZJ*

2025
American Physical Society Ridge, NY

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Please use a persistent id in citations: doi:10.1103/PhysRevD.111.014511  doi:10.34734/FZJ-2026-01058

Abstract: In two spacetime dimensions staggered fermions are minimally doubled, like Karsten-Wilczek and Boriçi-Creutz fermions. A continuum eigenvalue is thus represented by a pair of near-degenerate eigenvalues, with the splitting $𝛿$quantifying the cutoff induced taste symmetry breaking. We use the quenched Schwinger model to determine the low-lying fermionic eigenvalues (with 0, 1 or 3 steps of stout smearing) and analyze them in view of the global topological charge $𝑞 ∈ℤ$of the gauge background. For taste splittings pertinent to would-be zero modes, we find asymptotic Symanzik scaling of the form $𝛿_{wzm} ∝𝑎^2$with link smearing, and $𝛿_{wzm} ∝𝑎$without, for each action. For taste splittings pertinent to nontopological modes, staggered splittings scale as $𝛿_{ntm} ∝𝑎^𝑝$(where $𝑝≃2$with smearing and $𝑝 =1$without), while Karsten-Wilczek and Boriçi-Creutz fermions scale as $𝛿_{ntm} ∝𝑎$(regardless of the smearing level). Large corrections are seen with smearing.

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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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Database coverage:
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