The perturbative QCD gradient flow to three loops

The perturbative QCD gradient flow to three loops
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微扰 QCD 梯度流向三个环路

DOI:
10.1007/jhep06(2016)161
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发表时间:
2016
影响因子:
5.4
通讯作者:
Tobias Neumann
Tobias Neumann
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Robert V. Harlander;Tobias Neumann

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QCD中的梯度流通过强耦合常数下的次前级微扰来处理。描述了相关动量积分和流动-时间积分的计算方法,包括各种验证方法。对于作用密度的真空期望值,这在晶格计算中是一个有用的量,我们通过NNLO发现了一个非常好的微扰级数。通过NLO考虑了夸克质量效应。对于LO和NLO,只要流动时间小于约0.1fm,由重整化尺度变化引起的理论不确定性就会显著减小。
The gradient flow in QCD is treated perturbatively through next-to-next-to-leading order in the strong coupling constant. The evaluation of the relevant momentum and flow-time integrals is described, including various means of validation. For the vacuum expectation value of the action density, which turns out to be a useful quantity in lattice calculations, we find a very well-behaved perturbative series through NNLO. Quark mass effects are taken into account through NLO. The theoretical uncertainty due to renormalization-scale variation is significantly reduced with respect to LO and NLO, as long as the flow time is smaller than about 0.1 fm.
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