论文标题
关于Haag定理和重新归一化的歧义
On Haag's theorem and renormalization ambiguities
论文作者
论文摘要
根据重新归一化的群体，我们重新审视了Haag定理的含义。文献中仍然缺乏关于定理对标准（与公理性）量子场理论的可能影响的讨论，我们试图朝这个方向发光。然后，我们的讨论涉及Haag定理与重新归一化之间的相互作用。虽然我们阐明了在耦合正式较小时如何将其影响的扰动重新归如此（对于可重新划分的相互作用的子类别）会边缘化其影响，但我们认为，如果与自由场相互作用有任何参考图片，则无法构建非扰动和非歧义的重态化。换句话说，HAAG定理应被视为存在从扰动到非扰动QFT的非歧义分析延续的无关定理。
We revisit the implications of Haag's theorem in the light of the renormalization group. There is still some lack of discussion in the literature about the possible impact of the theorem on the standard (as opposite of axiomatic) quantum field theory, and we try to shed light in this direction. Our discussion then deals with the interplay between Haag's theorem and renormalization. While we clarify how perturbative renormalization (for the sub-class of interactions that are renormalizable) marginalizes the its impact when the coupling is formally small, we argue that a non-perturbative and non-ambiguous renormalization cannot be built if there is any reference to the interaction picture with free fields. In other words, Haag's theorem should be regarded as a no-go theorem for the existence of a non-ambiguous analytic continuation from perturbative to non-perturbative QFT.
