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Universality and the approach to the continuum limit in lattice gauge theory

机译:格规理论的普遍性和连续极限的求法。

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摘要

The universality of the continuum limit and the applicability of renormalized perturbation theory are tested in the SU(2) lattice gauge theory by computing two different non-perturbatively defined running couplings over a large range of energies. The lattice data (which were generated on the powerful APE computers at Rome II and DESY) are extrapolated to the continuum limit by simulating sequences of lattices with decreasing spacings. Our results confirm the expected universality at all energies to a precision of a few percent. We find, however, that perturbation theory must be used with care when matching different renormalized couplings at high energies.
机译:SU(2)晶格规范理论通过计算两种不同的在大范围能量上的非扰动定义的运行偶合,在SU(2)晶格规范理论中测试了连续极限的普遍性和重新归一化扰动理论的适用性。通过模拟间距减小的晶格序列,将晶格数据(在罗马II和DESY的功能强大的APE计算机上生成)推算到连续谱极限。我们的结果证实了所有能量的预期通用性达到百分之几的精度。但是,我们发现,在高能量下匹配不同的重新归一化耦合时,必须谨慎使用扰动理论。

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