Generalized quantum Vlasov equation for particle creation and unitary dynamics
arXiv:2203.04672 · doi:10.1103/PhysRevD.105.125012
Abstract
The loss of time-translational invariance caused by a time-dependent external agent leads to particle creation effects in quantum field theory. This phenomenon results in ambiguities when selecting the quantum vacuum of the canonical quantization. In this work we analyze how the time evolution of the number of created particles depends on these ambiguities when external agents are spatially homogeneous. In particular, we generalize the standard quantum Vlasov equation in order to accommodate in its formulation the possibility of having different choices of vacuum, including adiabatic vacua. This study leads us to propose a new physical criterion stronger than the unitary implementation of the dynamics in order to reduce the quantization ambiguities.
arXiv comment14 pages; v2: matches the version published on Phys. Rev. D (additional references added)
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