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• W2171875507 abstract "We point out a caveat in the proof for automatic $mathrm{O}(a)$ improvement in twisted mass lattice QCD at maximal twist angle. With the definition for the twist angle previously given by Frezzotti and Rossi, automatic $mathrm{O}(a)$ improvement can fail unless the quark mass satisfies ${m}_{q}ensuremath{gg}{a}^{2}{ensuremath{Lambda}}_{mathrm{Q}mathrm{C}mathrm{D}}^{3}$. We propose a different definition for the twist angle which does not require a restriction on the quark mass for automatic $mathrm{O}(a)$ improvement. In order to illustrate explicitly automatic $mathrm{O}(a)$ improvement we compute the pion mass in the corresponding chiral effective theory. We consider different definitions for maximal twist and show explicitly the absence or presence of the leading $mathrm{O}(a)$ effect, depending on the size of the quark mass." @default.
• W2171875507 created "2016-06-24" @default.
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• W2171875507 date "2004-12-23" @default.
• W2171875507 modified "2023-09-25" @default.
• W2171875507 title "Twisted mass QCD,O(a)improvement, and Wilson chiral perturbation theory" @default.
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• W2171875507 doi "https://doi.org/10.1103/physrevd.70.116011" @default.
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