Foreword

Jean Bellissard

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Préface

Nathalie Deruelle, Anastasios Kyprianidis (1988)

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List of the short communications

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Some Mathematical Problems in the Renormalization of Quantum Field Theories

Marcel Guenin (1973)

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Some Mathematical Problems in the Renormalization of Quantum Field Theories

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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)

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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...