### Some Mathematical Problems in the Renormalization of Quantum Field Theories

Marcel Guenin (1973)

Recherche Coopérative sur Programme n°25

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Marcel Guenin (1973)

Recherche Coopérative sur Programme n°25

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Marcel Guenin (1969)

Recherche Coopérative sur Programme n°25

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Wolfhart Zimmermann (1987)

Recherche Coopérative sur Programme n°25

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Janys̆ka, Joseph, Modugno, Marco (1997)

General Mathematics

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Oscar E. Lanford (1968)

Recherche Coopérative sur Programme n°25

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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...

James Glimm (1973-1974)

Séminaire Jean Leray

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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...

Manjavidze, J., Sissakian, A. (2004)

Discrete Dynamics in Nature and Society

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Bishop, R.C., Bohm, A., Gadella, M. (2004)

Discrete Dynamics in Nature and Society

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Atmanspacher, Harald (2004)

Discrete Dynamics in Nature and Society

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P. R. Holland, A. Kyprianidis (1988)

Annales de l'I.H.P. Physique théorique

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Philippe Gravejat, Christian Hainzl, Mathieu Lewin, Éric Séré (2012)

Journées Équations aux dérivées partielles

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We review recent results about the derivation and the analysis of two Hartree-Fock-type models for the polarization of vacuum. We pay particular attention to the variational construction of a self-consistent polarized vacuum, and to the physical agreement between our non-perturbative construction and the perturbative description provided by Quantum Electrodynamics.

Tanasa, Adrian (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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