The Stress-Energy Operator

Details The Stress-Energy Operator The Stress-Energy Operator

1996-02-28

arxiv.org/abs/gr-qc/9602060v2

Class.Quant.Grav.13:L129-L134,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Exposition improved. To appear in Letters to Classical and Quantum Gravity. Eight pp., plain Tex, IOP macros

Scientific paper

10.1088/0264-9381/13/11/002

We compute the stress--energy operator for a scalar linear quantum field in curved space-time, modulo c-numbers. For the associated Hamiltonian operators, even those generating evolution along timelike vector fields, we find that in general on locally Fock-like (`Hadamard') representations: (a) The Hamiltonians cannot be self-adjoint operators; (b) The automorphisms of the field algebra generated by the evolution cannot be unitarily implemented; (c) The expectation values of the Hamiltonians are well-defined on a dense family of states; but (d) These expectation values are unbounded below, even for evolution along future-directed timelike vector fields and even on Hadamard states. These are all local, ultraviolet, effects.

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