Eigenvalue based taste breaking of staggered, Karsten-Wilczek and Borici-Creutz fermions with stout smearing in the Schwinger model
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908058163085312 |
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| author | Ammer, Maximilian Durr, Stephan |
| author_facet | Ammer, Maximilian Durr, Stephan |
| contents | In two spacetime dimensions staggered fermions are minimally doubled, like Karsten-Wilczek and Borici-Creutz fermions. A continuum eigenvalue is thus represented by a pair of near-degenerate eigenvalues, with the splitting $δ$ quantifying the cut-off 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 $q\in\mathbb{Z}$ of the gauge background. For taste splittings pertinent to would-be zero modes, we find asymptotic Symanzik scaling of the form $δ_\mathrm{wzm} \propto a^2$ with link smearing, and $δ_\mathrm{wzm} \propto a$ without, for each action. For taste splittings pertinent to non-topological modes, staggered splittings scale as $δ_\mathrm{ntm} \propto a^p$ (where $p\simeq2$ with smearing and $p=1$ without), while Karsten-Wilczek and Boriçi-Creutz fermions scale as $δ_\mathrm{ntm} \propto a$ (regardless of the smearing level). Large logarithmic corrections are seen with smearing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_15024 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Eigenvalue based taste breaking of staggered, Karsten-Wilczek and Borici-Creutz fermions with stout smearing in the Schwinger model Ammer, Maximilian Durr, Stephan High Energy Physics - Lattice In two spacetime dimensions staggered fermions are minimally doubled, like Karsten-Wilczek and Borici-Creutz fermions. A continuum eigenvalue is thus represented by a pair of near-degenerate eigenvalues, with the splitting $δ$ quantifying the cut-off 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 $q\in\mathbb{Z}$ of the gauge background. For taste splittings pertinent to would-be zero modes, we find asymptotic Symanzik scaling of the form $δ_\mathrm{wzm} \propto a^2$ with link smearing, and $δ_\mathrm{wzm} \propto a$ without, for each action. For taste splittings pertinent to non-topological modes, staggered splittings scale as $δ_\mathrm{ntm} \propto a^p$ (where $p\simeq2$ with smearing and $p=1$ without), while Karsten-Wilczek and Boriçi-Creutz fermions scale as $δ_\mathrm{ntm} \propto a$ (regardless of the smearing level). Large logarithmic corrections are seen with smearing. |
| title | Eigenvalue based taste breaking of staggered, Karsten-Wilczek and Borici-Creutz fermions with stout smearing in the Schwinger model |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2409.15024 |