Generalized quantum Vlasov equation for particle creation and unitary dynamics

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 th...

Descripción completa

Detalles Bibliográficos
Autores: Álvarez Domínguez, Álvaro, Garay Elizondo, Luis Javier, Martín Benito, Mercedes
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/73048
Acceso en línea:https://hdl.handle.net/20.500.14352/73048
Access Level:acceso abierto
Palabra clave:51-73
State vector
Black holes
Quantum
Reduction
Models
Collapse
Fluctuations
Dynamics
Física-Modelos matemáticos
Física matemática
Descripción
Sumario: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.