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arxiv: 1203.0261 · v4 · pith:ZYIT7EJXnew · submitted 2012-03-01 · 🧮 math-ph · gr-qc· math.MP

Quantization of linearized gravity in cosmological vacuum spacetimes

classification 🧮 math-ph gr-qcmath.MP
keywords theoryclassicalcosmologicalgravitylinearizedquantumachievealgebraic
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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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