Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-06-24
Class. Quantum Grav. 28 (2011) 172001
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, version accepted for publication in Classical and Quantum Gravity
Scientific paper
10.1088/0264-9381/28/17/172001
A major problem in the quantization of fields in curved spacetimes is the ambiguity in the choice of a Fock representation for the canonical commutation relations. There exists an infinite number of choices leading to different physical predictions. In stationary scenarios, a common strategy is to select a vacuum (or a family of unitarily equivalent vacua) by requiring invariance under the spacetime symmetries. When stationarity is lost, a natural generalization consists in replacing time invariance by unitarity in the evolution. We prove that, when the spatial sections are compact, the criterion of a unitary dynamics, together with the invariance under the spatial isometries, suffices to select a unique family of Fock quantizations for a scalar field with time dependent mass.
Cortez Jeronimo
Mena Marugan Guillermo A.
Olmedo Javier
Velhinho José M.
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