论文标题

$ 1/r^2 $的动量方法作为威尔逊重新归一化的玩具模型的潜力

Momentum approach to the $1/r^2$ potential as a toy model of the Wilsonian renormalization

论文作者

Dereziński, Jan, Grocholski, Oskar

论文摘要

贝塞尔操作员,即,在动量表示中分析了半行的schrödinger操作员,其潜在的可能与$ 1/x^2 $成比例。该分析的许多特征与Wilson的方法平行于量子场理论:一个人需要施加截止值,添加反应,研究重新归一化的群体流量及其固定点和限制周期。

The Bessel operator, that is, the Schrödinger operator on the half-line with a potential proportional to $1/x^2$, is analyzed in the momentum representation. Many features of this analysis are parallel to the approach à la K. Wilson to Quantum Field Theory: one needs to impose a cutoff, add counterterms, study the renormalization group flow with its fixed points and limit cycles.

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