Quantum fields in curved space birrell davies pdf

For example, the quantum Dirac field in a strong and/or time-dependent external electromagnetic field accounts for the creation of electron-positron pairs out of the vacuum. TY - JOUR AU - Kay, Bernard TI - Application of linear hyperbolic PDE to linear quantum fields in curved spacetimes : especially black holes, time machines and a new semi-local vacuum concept JO - JournГ©es Г©quations aux dГ©rivГ©es partielles PY - 2000 PB - UniversitГ© de Nantes SP - 1 EP - 19 AB - Several situations of physical importance may be modelled by linear quantum fields propagating in fixed spacetime-dependent classical background fields. A further aim is to introduce, and set into context, some recent advances in our understanding of the general structure of quantum fields in curved spacetimes which rely on classical results from microlocal analysis. The aim is to give a sketch-impression of the whole subject of Quantum Field Theory in Curved Spacetime, focussing on work with which the author has been personally involved, and also to mention some ideas and work-in-progress by the author and collaborators towards a new вЂњsemi-localвЂќ vacuum construction for this subject. The focus in this talk will be on the covariant Klein-Gordon equation in a fixed curved background, although we shall draw on analogies with other background field problems and with the time-dependent harmonic oscillator.

linear hyperbolic PDE with non-constant coefficients describing the background in question) - albeit not necessarily a question which would have arisen naturally in a purely classical context. It is a well-established metatheorem that any question concerning such a linear quantum field may be reduced to a definite question concerning the corresponding classical field theory (i.e. Also, the theory of linear quantum fields propagating on a given background curved spacetime is the appropriate framework for the derivation of black-hole evaporation (Hawking effect) and for studying the question whether or not it is possible in principle to manufacture a time-machine. Several situations of physical importance may be modelled by linear quantum fields propagating in fixed spacetime-dependent classical background fields. JournГ©es Г©quations aux dГ©rivГ©es partielles

Application of linear hyperbolic PDE to linear quantum fields in curved spacetimes : especially black holes, time machines and a new semi-local vacuum concept

Quantum fields in curved space birrell davies pdf