Abstract
The scalar field action is given by \(S\left[ \phi \right] = - \frac{1}{2} \int d^4x \left[ \eta ^{\mu \nu } \partial _{\mu } \phi \partial _{\nu } \phi + m^2 \phi ^2 \right] \). We promote the field \(\phi ( t, \vec {x})\) to an operator \(\hat{\phi } ( t, \vec {x})\) with associated creation and annihilation operators, which we can then make time-dependent as
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Lüst, D., Vleeshouwers, W. (2019). Quantum Field Theory in Curved Space-Time Backgrounds. In: Black Hole Information and Thermodynamics. SpringerBriefs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-10919-6_15
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DOI: https://doi.org/10.1007/978-3-030-10919-6_15
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Online ISBN: 978-3-030-10919-6
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