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arXiv · 1503.06516

Determination of Reference Scales for Wilson Gauge Action from Yang--Mills Gradient Flow

Masayuki Asakawa·Takumi Iritani·Masakiyo Kitazawa·Hiroshi Suzuki
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Abstract

A parametrization of the lattice spacing ($a$) in terms of the bare coupling ($\beta$) for the SU(3) Yang--Mills theory with the Wilson gauge action is given in a wide range of~$\beta$. The Yang--Mills gradient flow with respect to the flow time~$t$ for the dimensionless observable, $t\frac{d}{dt}t^2\langle E(t)\rangle$, is utilized to determine the parametrization. With fine lattice spacings ($6.3\le\beta\le7.5$) and large lattice volumes ($N_{\rm s}=64$--$128$), the discretization and finite-volume errors are significantly reduced to the same level as the statistical error.

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Masayuki Asakawa, Takumi Iritani, Masakiyo Kitazawa, Hiroshi Suzuki. 2015-03-23. Determination of Reference Scales for Wilson Gauge Action from Yang--Mills Gradient Flow. https://arxiv.org/abs/1503.06516

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