The kinetic description of vacuum particle creation in the oscillator representation

Abstract

The oscillator representation is used for the non-perturbative description of vacuum particle creation in a strong time-dependent electric field in the framework of scalar QED. It is shown that the method can be more effective for the derivation of the quantum kinetic equation (KE) in comparison with the Bogoliubov method of time-dependent canonical transformations. This KE is used for the investigation of vacuum creation in periodical linear and circular polarized electric fields and also in the case of the presence of a constant magnetic field, including the back reaction problem. In particular, these examples are applied for a model illustration of some features of vacuum creation of electron-positron plasma within the planned experiments on the X-ray free electron lasers.

17 pages, 3 figures, v2: a reference added; some changes in text

References in corpus (4)

• First Observation of Self-Amplified Spontaneous Emission in a Free-Electron Laser at 109 nm Wavelength
• A Covariant Generalization of the Real-Time Green's Functions Method in the Theory of Kinetic Equations
• Coupled fermion and boson production in a strong background mean-field
• Relativistic quantum kinetic equation of the Vlasov type for systems with internal degrees of freedom

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• Inertial mechanism: dynamical mass as a source of particle creation
• Kinetic theory of vacuum pair production in uniform electric fields revisited
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• Self - Consistent Description of e+e-gamma Plasma Created from the Vacuum in a Strong Electric Laser Field
• Particle Creation from Vacuum by Lorentz Violation