有效指数gamma(Q)和beta函数的斜率
The effective exponent gamma(Q) and the slope of the beta function
摘要:
β函数在固定点的斜率通常被认为是RG不变的,并且是决定任何物理量R接近其固定点极限的临界指数gamma*:R*-R与Q^gamma* 成比例。Chyla已经证明这并不完全正确。在这里,我们定义了一个适当的RG不变量,“有效指数”gamma(Q),其定点极限是真正的gamma*。
英文摘要:
The slope of the beta function at a fixed point is commonly thought to be RG invariant and to be the critical exponent gamma* that governs the approach of any physical quantity R to its fixed-point limit: R*-R proportional to Q^gamma*. Chyla has shown that this is not quite true. Here we define a proper RG invariant, the "effective exponent" gamma(Q), whose fixed-point limit is the true gamma*.
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