On the existence problem in the algebraic approach to quantum field theory
Hofmann, Gerald
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Displaying similar documents to “The algebraic formulation of the axioms quantum field theory”
On the existence problem in the algebraic approach to quantum field theory
Application of linear hyperbolic PDE to linear quantum fields in curved spacetimes : especially black holes, time machines and a new semi-local vacuum concept
Bernard Kay (2000)
Journées équations aux dérivées partielles
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Several situations of physical importance may be modelled by linear quantum fields propagating in fixed spacetime-dependent classical background fields. 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. 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...
Analysis over infinite dimensional spaces and applications to quantum field theory
James Glimm (1973-1974)
Séminaire Jean Leray
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On the problem of defining a specific theory within the frame of local quantum physics
Rudolf Haag, Izumi Ojima (1996)
Annales de l'I.H.P. Physique théorique
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Unified field – the universal blueprint?
Bhaumik, M.L. (2000)
International Journal of Mathematics and Mathematical Sciences
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Positive energy quantization of linear dynamics
Jan Dereziński, Christian Gérard (2010)
Banach Center Publications
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The abstract mathematical structure behind the positive energy quantization of linear classical systems is described. It is separated into three stages: the description of a classical system, the algebraic quantization and the Hilbert space quantization. Four kinds of systems are distinguished: neutral bosonic, neutral bosonic, charged bosonic and charged fermionic. The formalism that is described follows closely the usual constructions employed in quantum physics to introduce noninteracting...