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arXiv 1301.6922hep-thhep-ph
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弱耦合下三维Yang-Mills真空波泛函

The Yang-Mills vacuum wave functional in three dimensions at weak coupling

Sebastian Krug, Antonio Pineda

摘要:

本文以O(e^2)的精度计算了弱耦合下的三维Yang-Mills真空波泛函。我们用两种不同的方法来求解薛定谔函数方程。时间复杂度为O(e^2),时间复杂度为O(e)。另一个使用弱耦合版本的规范不变量制定的薛定谔方程和基态波泛函其次是卡拉巴利,奈尔,和叶尔尼科夫。我们比较这两个结果,并讨论它们之间的差异。

英文摘要:

We compute the Yang-Mills vacuum wave functional in three dimensions at weak coupling with O(e^2) precision. We use two different methods to solve the Schroedinger functional equation. One of them generalizes to O(e^2) the method followed by Hatfield at O(e). The other uses the weak coupling version of the gauge invariant formulation of the Schroedinger equation and the ground state wave functional followed by Karabali, Nair, and Yelnikov. We compare both results and discuss the differences between them.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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