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arXiv · 1106.5000

A uniqueness criterion for the Fock quantization of scalar fields with time dependent mass

Jerónimo Cortez·Guillermo A. Mena Marugán·Javier Olmedo·José M. Velhinho
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Abstract

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.

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Jerónimo Cortez, Guillermo A. Mena Marugán, Javier Olmedo, José M. Velhinho. 2011-08-22. A uniqueness criterion for the Fock quantization of scalar fields with time dependent mass. https://doi.org/10.1088/0264-9381%2F28%2F17%2F172001

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