重正化条件与隐式正则化格式中滑动尺度的一种简单联系
Renormalization Conditions and the Sliding Scale in the Implicit Regularization Scheme: A Simple Connection
摘要：
我们详细描述了如何滑动尺度引入重整化的QFT根据整数维隐式正则化计划。我们表明，由于没有监管机构需要指定在中间步骤的计算，引入的质量尺度是一组重整化条件的直接后果。作为一个例子，导出了QED和λ * φ ^4理论的单圈β函数。它们以适当系统化的函数（与振幅的定义部分有关）相对于质量标度μ的导数给出。我们的正式计划可以很容易地推广到更高的循环计算。
英文摘要：
We describe in detail how a sliding scale is introduced in the renormalization of a QFT according to integer-dimensional implicit regularization scheme. We show that since no regulator needs to be specified at intermediate steps of the calculation, the introduction of a mass scale is a direct consequence of a set of renormalization conditions. As an illustration the one loop beta-function for QED and lambda*phi^4 theories are derived. They are given in terms of derivatives of appropriately systematized functions (related to definited parts of the amplitudes) with respect to a mass scale mu. Our formal scheme can be easily generalized to higher loop calculations.
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