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arXiv 2109.02790hep-lat
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用泡利-维拉尔场驯服晶格伪像

Taming lattice artifacts with Pauli--Villars fields

Anna Hasenfratz, Yigal Shamir, Benjamin Svetitsky

摘要:

当费米子被加入到格点规范理论中时,为了保持相同的重整化耦合,人们被驱使去更强的裸耦合。更强的裸耦合通常与更大的规范波动相关联,导致更大的截止效应和更昂贵的模拟。在有许多轻费米子的理论中,有时在遇到相界之前无法到达所需的物理区域。我们表明,这些不希望的影响,可以减少通过添加泡利-维拉尔领域。我们达到了明显更大的重整化耦合,同时阻尼了规范场的短程涨落。这可以允许从大的晶格间距进行受控的连续外推。

英文摘要:

As fermions are added to a lattice gauge theory, one is driven to stronger bare coupling in order to maintain the same renormalized coupling. Stronger bare couplings are usually associated with larger gauge fluctuations, leading to larger cutoff effects and more expensive simulations. In theories with many light fermions, sometimes the desired physical region cannot be reached before encountering a phase boundary. We show that these undesired effects can be reduced by adding Pauli--Villars fields. We reach significantly larger renormalized couplings while at the same time damping short-distance fluctuations of the gauge field. This may allow for controlled continuum extrapolations from large lattice spacings.

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