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.
@article{arxiv.1106.5000,
title = {A uniqueness criterion for the Fock quantization of scalar fields with time dependent mass},
author = {Jerónimo Cortez and Guillermo A. Mena Marugán and Javier Olmedo and José M. Velhinho},
journal= {arXiv preprint arXiv:1106.5000},
year = {2011}
}
Comments
11 pages, version accepted for publication in Classical and Quantum Gravity