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arXiv 0712.2620hep-thhep-lat
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回复arXiv:0711.4930[hep-th] by Ito and Seiler

Reply to arXiv:0711.4930[hep-th] by Ito and Seiler

E. T. Tomboulis

摘要:

在最近的一个说明(arXiv:0711.4930[hep-th])伊藤和塞勒声称,有一个“缺失的环节”在推导arXiv:0707.2179[hep-th]由本作者;即,没有证明一定的不等式使用在弱耦合。这里要指出的是,事实上并不存在这种缺失的环节。在0707.2179中的论证是特别构造的,使得所讨论的不等式仅在强耦合时被调用{ \it},在强耦合时它很容易被证明。伊藤和塞勒在0707.2179中对论证的错误解释是他们关于0707.2179中使用的势移动抽取过程对时空维数和其他抽取参数的依赖性的错误陈述。

英文摘要:

In a recent note (arXiv:0711.4930[hep-th]) Ito and Seiler claim that there is a 'missing link' in the derivation in arXiv:0707.2179[hep-th] by the present author; namely, that no proof of a certain inequality used there is given at weak coupling. Here it is pointed out that in fact no such missing link is present. The argument in 0707.2179 is, among other things, specifically constructed so that the inequality in question is invoked {\it only} at strong coupling, where it is easily proven. Underlying the mangling of the argument in 0707.2179 by Ito and Seiler are their incorrect statements concerning the dependence of the potential-moving decimation procedures used in 0707.2179 on space-time dimensionality and other decimation parameters.

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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