复合结构与因果关系
Composite Structure and Causality
摘要:
我们研究的问题是,是否一个基本粒子的复合结构,与长度尺度$1/Λ$,可以留下可观察到的影响,非局域性和因果关系的破坏在更高的能量(但$\lesssim Λ$)。我们制定了一个模型独立的方法的基础上Bogoliubov-Shirkov制定的因果关系。我们分析的基本理论(更精细的成分)和衍生理论(复合颗粒)之间的关系。我们假设基本理论是因果的,并制定了一个条件,必须满足派生理论是因果的。我们分析的条件和展览的可能性,满足和违反的条件。我们对违反因果关系的振幅是如何产生的作了评论。
英文摘要:
We study the question of whether a composite structure of elementary particles, with a length scale $1/Λ$, can leave observable effects of non-locality and causality violation at higher energies (but $\lesssim Λ$). We formulate a model-independent approach based on Bogoliubov-Shirkov formulation of causality. We analyze the relation between the fundamental theory (of finer constituents) and the derived theory (of composite particles). We assume that the fundamental theory is causal and formulate a condition which must be fulfilled for the derived theory to be causal. We analyze the condition and exhibit possibilities which fulfil and which violate the condition. We make comments on how causality violating amplitudes can arise.
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