The Effect of the Low Energy Constants on the Spectral Properties of the Wilson Dirac Operator

Jacobus J. M. Verbaarschot; Mario Kieburg; Savvas Zafeiropoulos

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The Effect of the Low Energy Constants on the Spectral Properties of the Wilson Dirac Operator

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arxiv 1310.7009 v1 pith:LVZAPHVG submitted 2013-10-25 hep-lat hep-thmath-phmath.MP

Mario Kieburg , Jacobus J. M. Verbaarschot , Savvas Zafeiropoulos This is my paper

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keywords constantsenergylatticediraceffectlimitoperatorrelations

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We summarize recent analytical results obtained for lattice artifacts of the non-Hermitian Wilson Dirac operator. Hereby we discuss the effect of all three low energy constants. In particular we study the limit of small lattice spacing and also consider the regime of large lattice spacing which is closely related to the mean field limit. Thereby we extract simple relations between measurable quantities like the average number of additional real modes and the low energy constants. These relations may improve the fitting for the low energy constants.

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