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pro vyhledávání: '"Husung, Nikolai"'
Autor:
Husung, Nikolai
Recently the asymptotic lattice spacing dependence of spectral quantities in lattice QCD has been computed to $\mathrm{O}(a^2)$ using Symanzik Effective theory [1,2]. Here, we extend these results to matrix elements and correlators of local fermion b
Externí odkaz:
http://arxiv.org/abs/2409.00776
Autor:
Husung, Nikolai
Beyond spectral quantities, Symanzik Effective Theory (SymEFT) predictions of the asymptotic lattice-spacing dependence require the inclusion of an additional minimal basis of higher-dimensional operators for each local field involved in the matrix e
Externí odkaz:
http://arxiv.org/abs/2401.04303
Autor:
Husung, Nikolai
One major systematic uncertainty of lattice QCD results is due to the continuum extrapolation. For an asymptotically free theory like QCD one finds corrections of the form $a^{n_\mathrm{min}}[2b_0\bar{g}^2(1/a)]^{\hat{\Gamma}_i}$ with lattice spacing
Externí odkaz:
http://arxiv.org/abs/2212.09626
Integrated time-slice correlation functions $G(t)$ with weights $K(t)$ appear, e.g., in the moments method to determine $\alpha_s$ from heavy quark correlators, in the muon g-2 determination or in the determination of smoothed spectral functions. For
Externí odkaz:
http://arxiv.org/abs/2211.15750
Autor:
Husung, Nikolai
Einer der finalen Schritte in Simulationen von Gitter Quantenchromodynamik (QCD) oder Gittereichtheorie ist die Kontinuumsextrapolation, um die eigentliche Kontinuumsphysik zu extrahieren. Diese Extrapolation beruht stark auf Annahmen über die asymp
Externí odkaz:
http://edoc.hu-berlin.de/18452/23784
Autor:
Husung, Nikolai
We derive the asymptotic lattice spacing dependence $a^n[2b_0\bar{g}^2(1/a)]^{\hat{\Gamma}_i}$ relevant for spectral quantities of lattice QCD, when using Wilson, O$(a)$ improved Wilson or Ginsparg-Wilson quarks. We give some examples for the spectra
Externí odkaz:
http://arxiv.org/abs/2206.03536
We analyse the leading logarithmic corrections to the $a^2$ scaling of lattice artefacts in QCD, following the seminal work of Balog, Niedermayer and Weisz in the O(n) non-linear sigma model. Limiting the discussion to contributions from the action,
Externí odkaz:
http://arxiv.org/abs/2111.04679
Publikováno v:
Phys.Lett.B 829 (2022) 137069 and Phys.Lett.B 858 (2024) 138981
We consider spectral quantities in lattice QCD and determine the asymptotic behavior of their discretization errors. Wilson fermion with O$(a)$-improvement, (M\"obius) Domain wall fermion (DWF), and overlap Dirac operators are considered in combinati
Externí odkaz:
http://arxiv.org/abs/2111.02347
Discretization effects of lattice QCD are described by Symanzik's effective theory when the lattice spacing, $a$, is small. Asymptotic freedom predicts that the leading asymptotic behavior is $\sim a^n [\bar g^2(a^{-1})]^{\hat\gamma_1} \sim a^n \left
Externí odkaz:
http://arxiv.org/abs/1912.08498
We analyse the leading logarithmic corrections to the $a^2$ scaling of lattice artefacts in QCD, following the seminal work of Balog, Niedermayer and Weisz in the O(n) non-linear sigma model. Restricting our attention to contributions from the action
Externí odkaz:
http://arxiv.org/abs/1912.02058