Microcausality and Quantum Cylindrical Gravitational Waves
J. Fernando Barbero G., Guillermo A. Mena Marugan, Eduardo J. S., Villase\~nor
TL;DR
This paper investigates the quantum properties of cylindrical gravitational waves, focusing on time evolution, Fock space definitions, and microcausality to understand the causal structure of quantum spacetime.
Contribution
It analyzes how different time choices affect quantum field quantization and causality in cylindrical gravitational wave models, providing insights into quantum spacetime structure.
Findings
Different time choices influence the structure of Fock spaces.
Field commutators reveal causal properties of quantum spacetime.
Quantum microcausality is examined in cylindrical gravitational wave context.
Abstract
We study several issues related to the different choices of time available for the classical and quantum treatment of linearly polarized cylindrical gravitational waves. We pay especial attention to the time evolution of creation and annihilation operators and the definition of Fock spaces for the different choices of time involved. We discuss also the issue of microcausality and the use of field commutators to extract information about the causal properties of quantum spacetime.
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