Quantum states and the Hadamard form. I. Energy minimization for scalar fields
- 1 October 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 30 (8) , 1733-1741
- https://doi.org/10.1103/physrevd.30.1733
Abstract
We investigate properties of the states of a scalar field in a Robertson-Walker space-time constructed by an energy-minimization requirement. It is shown that in general the anticommutator expectation value of these states will not possess the Hadamard form. We present a simple example in which we can give a closed form for such an expectation value. The implications of this result for renormalization theory in quantum field theory on curved space-time are discussed.
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