论文标题
MS4方案中$β$ functions $β$ functions的有限Z-le-z-nectrass表达式
Finite Z-less integral expressions for $β$-functions in the MS4 scheme
论文作者
论文摘要
紫外线重归其化的广义最小减法方案（Kuznetsov and Tkachov，1988）仔细调节了应用。由此产生的$ \ text {ms}^4 $方案避免了无关的正常化，并通过以物理上正确的方式减去麻烦的渐近术语来使动量整合，因为使用了特殊的最小减法运算符，与物理上自然的Polchinski截止值一致地定义了特殊的最小减法运算符。 Callan-Symanzik方程的直接推导避免了不同的重新归一化因子或反转，并自动产生重新归一化组函数的明确确切的有限积分表达式。
The generalized minimal subtraction scheme for ultraviolet renormalization (Kuznetsov and Tkachov, 1988) is fine-tuned with applications in mind. The resulting $\text{MS}^4$ scheme obviates extraneous regularizations and renders momentum integrands integrable by subtracting troublesome asymptotic terms in a physically correct fashion due to the use of special minimal subtraction operators defined congruously with the physically natural Polchinski cutoffs. A direct derivation of the Callan-Symanzik equations avoids divergent renormalization factors or counterterms, and automatically yields explicit exact finite integral expressions for renormalization group functions.
