2006/11/30 by Christopher J. Fewster
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebra over a field #Black Holes and Theoretical Physics #Categorical variable #Covariance #Covariant transformation #Equivalence (formal languages) #Gauge covariant derivative #Gauge fixing #Gauge theory #General covariance #General relativity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum field theory #Theoretical physics #math-ph #math.MP
paper · pdf · doi:10.1007/s10714-007-0494-3
published as Gen.Rel.Grav.39:1855-1890,2007 · 27 pages, LaTeX. Further discussion added. Version to appear in General Relativity and Gravitation
arxiv created 2007/07/30 · openalex publication_date 2007/09/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.