格点Yang-Mills理论中的改进作用量和渐近标度
Improved actions and asymptotic scaling in lattice Yang-Mills theory
摘要：
本文研究了SU（2）和SU（3）格点规范理论中的改进作用量，着重于渐近标度。提出了一种新的蝌蚪改良方案。标准的，但启发式的蝌蚪改进出现从平均场近似的新方法。利用大距离静态夸克势研究了标度性。这两个，通用的和新的蝌蚪计划产生显着的改善渐近缩放相比，循环改进的行动。然而，对旋转对称破缺项的研究表明，只有新的改进方案才能有效地消除作用量中的主导无关项。
英文摘要：
Improved actions in SU(2) and SU(3) lattice gauge theories are investigated with an emphasis on asymptotic scaling. A new scheme for tadpole improvement is proposed. The standard but heuristic tadpole improvement emerges from a mean field approximation from the new approach. Scaling is investigated by means of the large distance static quark potential. Both, the generic and the new tadpole scheme yield significant improvements on asymptotic scaling when compared with loop improved actions. A study of the rotational symmetry breaking terms, however, reveals that only the new improvement scheme efficiently eliminates the leading irrelevant term from the action.
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