Unitary quantization of a scalar charged field and Schwinger effect



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Garay Elizondo, Luis Javier and Martín Caro, Alberto García and Martín Benito, Mercedes (2020) Unitary quantization of a scalar charged field and Schwinger effect. Journal of High Energy Physics, 2020 (4). ISSN 1029-8479

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Official URL: https://doi.org/10.1007/JHEP04%282020%29120


Quantum field theory in curved spacetimes suffers in general from an infinite ambiguity in the choice of Fock representation and associated vacuum. In cosmological backgrounds, the requirement of a unitary implementation of the field dynamics in the physical Hilbert space of the theory is a good criterion to ameliorate such ambiguity. In- deed, this criterion, together with a unitary implementation of the symmetries of the equations of motion, leads to an equivalence class of unitarily equivalent quantizations that, even though it is still formed by an infinite number of Fock representations, is unique. In this work, we apply the procedure developed for fields in cosmological settings to analyze the quantization of a scalar field in the presence of an external electromagnetic classical field in a flat background. We find a natural Fock representation that admits a unitary implementation of the quantum field dynamics. It automatically allows to define a particle number density at all times in the evolution with the correct asymptotic behavior, when the electric field vanishes. Moreover we show the unitary equivalence of all the quantizations that fulfill our criteria, so that they form a unique equivalence class. Although we perform the field quantization in a specific gauge, we also show the equivalence between the procedures taken in different gauges.

Item Type:Article
Uncontrolled Keywords:Gauge Symmetry, Nonperturbative Effects
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:74450
Deposited On:14 Sep 2022 13:47
Last Modified:15 Sep 2022 06:59

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