论文标题
Bogoliubov的因果扰动QED和白噪声。相互作用字段
Bogoliubov's causal perturbative QED and white noise. Interacting fields
论文作者
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：从某个点上的创造 - 通知操作员，即对于特定的动量，被数学上的解释为白噪声分析中的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。我们在这里提出了与HIDA操作员因果关系中相互作用领域的绝热限制的存在证明。当且仅当在散射算子的构建中，在爱泼斯坦 - 格莱斯分布中的标准化是“自然”的，因此存在这种限制，从而消除了分裂的选择，从而消除了使理论确定的，其预测能力可以相当大得多。例如，我们提出了一个可以在该理论中证明的电荷质量关系，并在实验中得到证实。
We present the Bogoliubov's causal perturbative QFT, which includes only one refinement: the creation-annihilation operators at a point, 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 existence proof of the adiabatic limit for interacting fields in causal QED with Hida operators. This limit exists if and only if the normalization in the Epstein-Glaser splitting of the causal distributions, in the construction of the scattering operator, is "natural", and thus eliminates arbitrariness in the choice of the splitting making the theory definite, with its predictive power considerably strengthened. For example, we present a charge-mass relation which can be proved within this theory, and which is confirmed experimentally.
