Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980jpha...13.2179b&link_type=abstract
Journal of Physics A - Mathematical and General, vol. 13, June 1980, p. 2179-2203.
Astronomy and Astrophysics
Astrophysics
8
Automorphisms, Field Theory (Physics), Quantum Theory, Space-Time Functions, Astrophysics, Black Holes (Astronomy), Gauge Invariance, Hilbert Space, Operators (Mathematics), Topology, Transformations (Mathematics)
Scientific paper
Heuristic spectral theory is developed for a symmetric operator on the universal covering space of a multiply connected static spacetime and is used to construct the quantum field theory of a multiplet of scalar fields in the customary sum-over-modes fashion. The non-local symmetries necessary to the theory are explicitly constructed, as are the projection on the field operators. The non-existence of a standard charge conjugation for certain types of representation is noted. Gauge transformations are used to give a simple and complete classification of automorphic field theories. The relationship between the unprojected and projected field algebras is clarified, and the implications for Fock space (vacuum degeneracy, etc.) are discussed - earlier work being criticized. The analogy to black hole physics is pointed out, and the possible role of the Reeh-Schlieder theorems is speculated upon.
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