Lattice field theory
Lattice field theory
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格场论
DOI：
10.1016/0920-5632(90)90456-5
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发表时间：
1990
期刊：
影响因子：
--
通讯作者：
G. Martinelli
中科院分区：
文献类型：
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作者：
G. Martinelli
从那时起，由于巨大的理论努力和可用计算机能力的非凡增长，取得了重大进展。一方面，格点方法已经成为我们目前理解量子场论重要性质的基本工具，例如重整化群行为，紫外和红外不动点的存在，理论的手征性质等。另一方面，由于我们的计算机资源的巨大发展，粒子物理学的所有方面目前都在格点上进行研究，已经有了现象学上的相关结果。在这篇评论中，我集中讨论了格场理论的各个方面，这些方面可能会产生重大的唯象影响，并允许理论预测和实验之间的直接对抗。在这方面，迄今为止获得的最准确的结果与量子色动力学有关。事实上，QCD在有限温度下的性质，强子的谱，包括胶球，和一些强子矩阵元，如结构函数和非轻子K介子衰变，已经被广泛研究。最近，随着对强相互作用希格斯粒子和强相互作用手征模型（如工业色）的动力学研究，在标准模型的电弱部分开始了大量的活动。
Since then substantial advances have been made possible thanks to a great theoretical effort and to an extraordinary increase in the available computer power. On one hand the lattice approach has resulted to be a fundamental tool in our present understanding of important properties of quantum field theory such as the renormalization group behaviour, the existence of ultraviolet and infrared fixed points, the chiral properties of the theory etc. On the other hand, because of the enormous development of our computer resources all aspects of particle physics are currently studied on the lattice, already with phenomenologically relevant results. In this review I have centered the discussion on the aspects of lattice field theory which may have a major phenomenological impact and allow a direct confrontation between theoretical predictions and experiments. In this respect the most accurate results obtained so far are related to Quantum Chromodynamics. In fact the properties of QCD at finite temperature, the spectrum of hadrons, including glue balls, and some hadronic matrix elements, such as structure functions and non-leptonic kaon decays, have been already extensively studied. More recentey a great deal of activity has been started in the electro-weak sector of the Standard Model with the study of the dynamics of strongly interacting Higgs particles and of strong interacting chiral models such as technicolour.