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| 001 | 1019543 | ||
| 005 | 20240102203541.0 | ||
| 024 | 7 | _ | |a arXiv:2210.06860 |2 arXiv |
| 024 | 7 | _ | |a 10.22323/1.430.0289 |2 doi |
| 024 | 7 | _ | |a 10.34734/FZJ-2023-05490 |2 datacite_doi |
| 037 | _ | _ | |a FZJ-2023-05490 |
| 041 | _ | _ | |a English |
| 100 | 1 | _ | |a Ammer, Maximilian |0 P:(DE-HGF)0 |b 0 |e Corresponding author |
| 111 | 2 | _ | |a Lattice 2022 |g Lattice 2022 |c Bonn |d 2022-08-08 - 2022-08-13 |w Germany |
| 245 | _ | _ | |a $\mathbf{c_\textbf{SW}}$ at One-Loop Order for Brillouin Fermions |
| 260 | _ | _ | |c 2023 |b Sissa Medialab Trieste, Italy |
| 295 | 1 | 0 | |a Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022) - Sissa Medialab Trieste, Italy, 2022. - ISBN - doi:10.22323/1.430.0289 |
| 300 | _ | _ | |a 289 |
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| 336 | 7 | _ | |a Conference Paper |0 33 |2 EndNote |
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| 500 | _ | _ | |a Proceedings of the 39th International Symposium on Lattice Field Theory, 8th-13th August, 2022, Rheinische Friedrich-Wilhelms-Universit\'at Bonn, Bonn, Germany |
| 520 | _ | _ | |a Wilson-like Dirac operators can be written in the form $D=\gamma_\mu\nabla_\mu-\frac {ar}{2} \Delta$. For Wilson fermions the standard two-point derivative $\nabla_\mu^{(\mathrm{std})}$ and 9-point Laplacian $\Delta^{(\mathrm{std})}$ are used. For Brillouin fermions these are replaced by improved discretizations $\nabla_\mu^{(\mathrm{iso})}$ and $\Delta^{(\mathrm{bri})}$ which have 54- and 81-point stencils respectively. We derive the Feynman rules in lattice perturbation theory for the Brillouin action and apply them to the calculation of the improvement coefficient ${c_\mathrm{SW}}$, which, similar to the Wilson case, has a perturbative expansion of the form ${c_\mathrm{SW}}=1+{c_\mathrm{SW}}^{(1)}g_0^2+\mathcal{O}(g_0^4)$. For $N_c=3$ we find ${c_\mathrm{SW}}^{(1)}_\mathrm{Brillouin} =0.12362580(1) $, compared to ${c_\mathrm{SW}}^{(1)}_\mathrm{Wilson} = 0.26858825(1)$, both for $r=1$. |
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| 700 | 1 | _ | |a Durr, Stephan |0 P:(DE-Juel1)132580 |b 1 |
| 773 | _ | _ | |a 10.22323/1.430.0289 |
| 856 | 4 | _ | |u https://arxiv.org/pdf/2210.06860.pdf |
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