林德勒量子是真的吗?量子场论中的不等式粒子概念
Are Rindler Quanta Real? Inequivalent particle concepts in quantum field theory
摘要:
对量子场论的哲学反思往往集中在它如何修正我们对粒子是什么的概念。然而,对于经典场论的不等价量子化的可能性对粒子的“实在性”造成的威胁,讨论相对较少,即,在希尔伯特空间上的算子的领域的可观的代数的不等价表示。威胁在于,每一种表征都体现了自己独特的概念,即粒子是什么,以及“粒子”如何对适当操作的探测器作出反应。我们的主要目标是澄清场论的不等价表示和它们的相关粒子概念之间的微妙关系。我们还对自由玻色子场的闵可夫斯基量子化和林德勒量子化特别感兴趣,因为它们分别涉及对时空中同一区域的场的粒子含量的两种完全不同的描述。我们将捍卫这样一种观点,即这些表象提供了场的同一状态的互补描述,而不是主张它们体现了场的完全不可否认的理论。
英文摘要:
Philosophical reflection on quantum field theory has tended to focus on how it revises our conception of what a particle is. However, there has been relatively little discussion of the threat to the "reality" of particles posed by the possibility of inequivalent quantizations of a classical field theory, i.e., inequivalent representations of the algebra of observables of the field in terms of operators on a Hilbert space. The threat is that each representation embodies its own distinctive conception of what a particle is, and how a "particle" will respond to a suitably operated detector. Our main goal is to clarify the subtle relationship between inequivalent representations of a field theory and their associated particle concepts. We also have a particular interest in the Minkowski versus Rindler quantizations of a free Boson field, because they respectively entail two radically different descriptions of the particle content of the field in the very same region of spacetime. We shall defend the idea that these representations provide complementary descriptions of the same state of the field against the claim that they embody completely incommensurable theories of the field.
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