Monday, March 5, 2012

1203.0261 (Christopher J Fewster et al.)

Quantization of linearized gravity in cosmological vacuum spacetimes    [PDF]

Christopher J Fewster, David S Hunt
Linearized Einstein gravity (with possibly nonzero cosmological constant) is quantized in the framework of algebraic quantum field theory by analogy with Dimock's treatment of electromagnetism [Rev. Math. Phys. 4 (1992) 223--233]. To achieve this, the classical theory is developed in a full, rigorous and systematic fashion, with particular attention given to the circumstances under which the symplectic product is weakly non-degenerate and to the related question of whether the space of solutions is separated by the classical observables on which the quantum theory is modelled.
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