论文标题

因果扰动QED和白噪声

Causal perturbative QED and white noise

论文作者

Wawrzycki, Jaroslaw

论文摘要

我们介绍了Bogoliubov的因果扰动QFT,其中仅包括一种改进:在某个点上为特定动量的创建 - 通知操作员,\ emph {i.e。},在数学上被解释为来自白噪声分析的HIDA操作员。我们将其余的理论完全保持不变。这允许在过渡到交互场的绝热极限中避免红外线和紫外线。我们在这里介绍了将HIDA操作员作为创建式运算符的散射操作员的因果公理分析。

We present the Bogoliubov's causal perturbative QFT, which includes only one refinement: the creation-annihilation operators at a point, \emph{i.e.} for a specific momentum, are mathematically interpreted as the Hida operators from the white noise analysis. We leave the rest of the theory completely unchanged. This allows avoiding infrared -- and ultraviolet -- divergences in the transition to the adiabatic limit for interacting fields. We present here the analysis of the causal axioms for the scattering operator with the Hida operators as the creation-annihilation operators.

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