指数重整化II：Bogoliubov的R-操作和动量减方案
Exponential Renormalization II: Bogoliubov's R-operation and momentum subtraction schemes
摘要：
本文的目的是发展最近引进的微扰量子场论重整化的指数方法。结果表明，这个新的程序提供了一个有意义的递归计划的背景下，代数和群论的方法重整化。特别是，我们详细描述了Bogoliubov的经典R-操作和counterterterm递归的背景下，动量减法计划的Hopf代数制定。这种方法使我们能够提出一个代数分类不同的减法方案。我们的结果揭示了泰勒喷流展开的程度，特别是最小减法和过减法的概念所发挥的特殊的代数作用。
英文摘要：
This article aims at advancing the recently introduced exponential method for renormalisation in perturbative quantum field theory. It is shown that this new procedure provides a meaningful recursive scheme in the context of the algebraic and group theoretical approach to renormalisation. In particular, we describe in detail a Hopf algebraic formulation of Bogoliubov's classical R-operation and counterterm recursion in the context of momentum subtraction schemes. This approach allows us to propose an algebraic classification of different subtraction schemes. Our results shed light on the peculiar algebraic role played by the degrees of Taylor jet expansions, especially the notion of minimal subtraction and oversubtractions.
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