为天真辩护：拉格朗日QFT的概念地位
In defence of naivete: The conceptual status of Lagrangian QFT
摘要：
我分析了拉格朗日量子场论的概念和数学基础（即主流物理学中使用的“天真”的量子场论，而不是代数量子场论）。我们的目标是要看看拉格朗日量子场论是否有一个足够坚实的概念和数学基础，成为一个合法的基础研究对象，或者它是否太不明确。分析涵盖了重整化和无穷大，不等价表示，以及局域态的概念;结论是拉格朗日QFT（至少如这里所描述的）是一个完全值得尊敬的物理理论，尽管在某些方面与大多数基础工作中研究的理论有所不同。
英文摘要：
I analyse the conceptual and mathematical foundations of Lagrangian quantum field theory (that is, the "naive" quantum field theory used in mainstream physics, as opposed to algebraic quantum field theory). The objective is to see whether Lagrangian quantum field theory has a sufficiently firm conceptual and mathematical basis to be a legitimate object of foundational study, or whether it is too ill-defined. The analysis covers renormalisation and infinities, inequivalent representations, and the concept of localised states; the conclusion is that Lagrangian QFT (at least as described here) is a perfectly respectable physical theory, albeit somewhat different in certain respects from most of those studied in foundational work.
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