Quantum energy inequalities and local covariance II: categorical formulation
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.
 Publication:

General Relativity and Gravitation
 Pub Date:
 November 2007
 DOI:
 10.1007/s1071400704943
 arXiv:
 arXiv:mathph/0611058
 Bibcode:
 2007GReGr..39.1855F
 Keywords:

 Quantum energy inequalities;
 Locally covariant quantum field theory;
 Mathematical Physics
 EPrint:
 27 pages, LaTeX. Further discussion added. Version to appear in General Relativity and Gravitation