量子能量不等式和局部协方差II：分类公式
Quantum energy inequalities and local covariance II: Categorical formulation
摘要：
我们制定的局部协变量子场论的框架内的量子能量不等式（QEIs）由Brunetti，Fredenaldi和Verch，这是基于从范畴论的概念。这就引出了对量子弹性体的一个新的观点，也引出了局部协变量子场论的一个新的结构性质，我们称之为局部物理等价性。协变配方的数值范围和频谱的局部协变字段给出和调查，并确定了一个新的代数领域，在该领域被视为独立于其实现特定的时空和明确的协变版本的功能演算可能制定。
英文摘要：
We formulate Quantum Energy Inequalities (QEIs) in the framework of locally covariant quantum field theory developed by Brunetti, Fredenhagen and Verch, which is based on notions taken from category theory. This leads to a new viewpoint on the QEIs, and also to the identification of a new structural property of locally covariant quantum field theory, which we call Local Physical Equivalence. Covariant formulations of the numerical range and spectrum of locally covariant fields are given and investigated, and a new algebra of fields is identified, in which fields are treated independently of their realisation on particular spacetimes and manifestly covariant versions of the functional calculus may be formulated.
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