用重整化群重访（对数）标度关系
Revisiting (logarithmic) scaling relations using renormalization group
摘要：
我们明确计算与对数校正相关的临界指数（所谓的hatted指数）从重整化群方程和平均场行为出发，为一大类模型在上临界行为（对于短程和长程$ϕ^n$ -理论）和低于它的临界指数。这使我们能够检查通过分析复奇点获得的这些临界指数之间的标度关系（李杨和费舍尔零）这些模型。此外，我们已经得到了一个明确的方法来计算$\hat{\coppa}$指数[定义由$ξ\sim L (\log L)^{\hat{\coppa}}$ ]，最后，我们已经找到了一个新的推导与它相关的标度律。
英文摘要：
We explicitly compute the critical exponents associated with logarithmic corrections (the so-called hatted exponents) starting from the renormalization group equations and the mean field behavior for a wide class of models at the upper critical behavior (for short and long range $ϕ^n$-theories) and below it. This allows us to check the scaling relations among these critical exponents obtained by analysing the complex singularities (Lee-Yang and Fisher zeroes) of these models. Moreover, we have obtained an explicit method to compute the $\hat{\coppa}$ exponent [defined by $ξ\sim L (\log L)^{\hat{\coppa}}$] and, finally, we have found a new derivation of the scaling law associated with it.
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