Quantum energy inequalities and local covariance II: categorical formulation |
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Authors: | Christopher J Fewster |
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Institution: | (1) Department of Mathematics, University of York, Heslington, York, YO10 5DD, UK |
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Abstract: | 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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Keywords: | Quantum energy inequalities Locally covariant quantum field theory |
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