Ebook: Rigorous Quantum Field Theory: A Festschrift for Jacques Bros
- Tags: Quantum Physics, Mathematical Methods in Physics
- Series: Progress in Mathematics 251
- Year: 2007
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
Jacques Bros has greatly advanced our present understanding of rigorous quantum field theory through numerous fundamental contributions. This book arose from an international symposium held in honour of Jacques Bros on the occasion of his 70th birthday, at the Department of Theoretical Physics of the CEA in Saclay, France.
The impact of the work of Jacques Bros is evident in several articles in this book. Quantum fields are regarded as genuine mathematical objects, whose various properties and relevant physical interpretations must be studied in a well-defined mathematical framework.
The key topics in this volume include analytic structures of Quantum Field Theory (QFT), renormalization group methods, gauge QFT, stability properties and extension of the axiomatic framework, QFT on models of curved spacetimes, QFT on noncommutative Minkowski spacetime.
Contributors: D. Bahns, M. Bertola, R. Brunetti, D. Buchholz, A. Connes, F. Corbetta, S. Doplicher, M. Dubois-Violette, M. Dütsch, H. Epstein, C.J. Fewster, K. Fredenhagen, C. Gérard, D. Iagolnitzer, C.D. Jäkel, C. Kopper, G. Lechner, G. Morchio, U. Moschella, J. Mund, H. Narnhofer, G. Piacitelli, K.-H. Rehren, P.L. Ribeiro, V. Rivasseau, J.E. Roberts, B. Schroer, O. Steinmann, F. Strocchi, G.A. Viano, F. Vignes-Tourneret
Jacques Bros has greatly advanced our present understanding of rigorous quantum field theory through numerous fundamental contributions. This book arose from an international symposium held in honour of Jacques Bros on the occasion of his 70th birthday, at the Department of Theoretical Physics of the CEA in Saclay, France.
The impact of the work of Jacques Bros is evident in several articles in this book. Quantum fields are regarded as genuine mathematical objects, whose various properties and relevant physical interpretations must be studied in a well-defined mathematical framework.
The key topics in this volume include analytic structures of Quantum Field Theory (QFT), renormalization group methods, gauge QFT, stability properties and extension of the axiomatic framework, QFT on models of curved spacetimes, QFT on noncommutative Minkowski spacetime.
Contributors: D. Bahns, M. Bertola, R. Brunetti, D. Buchholz, A. Connes, F. Corbetta, S. Doplicher, M. Dubois-Violette, M. D?tsch, H. Epstein, C.J. Fewster, K. Fredenhagen, C. G?rard, D. Iagolnitzer, C.D. J?kel, C. Kopper, G. Lechner, G. Morchio, U. Moschella, J. Mund, H. Narnhofer, G. Piacitelli, K.-H. Rehren, P.L. Ribeiro, V. Rivasseau, J.E. Roberts, B. Schroer, O. Steinmann, F. Strocchi, G.A. Viano, F. Vignes-Tourneret
Jacques Bros has greatly advanced our present understanding of rigorous quantum field theory through numerous fundamental contributions. This book arose from an international symposium held in honour of Jacques Bros on the occasion of his 70th birthday, at the Department of Theoretical Physics of the CEA in Saclay, France.
The impact of the work of Jacques Bros is evident in several articles in this book. Quantum fields are regarded as genuine mathematical objects, whose various properties and relevant physical interpretations must be studied in a well-defined mathematical framework.
The key topics in this volume include analytic structures of Quantum Field Theory (QFT), renormalization group methods, gauge QFT, stability properties and extension of the axiomatic framework, QFT on models of curved spacetimes, QFT on noncommutative Minkowski spacetime.
Contributors: D. Bahns, M. Bertola, R. Brunetti, D. Buchholz, A. Connes, F. Corbetta, S. Doplicher, M. Dubois-Violette, M. D?tsch, H. Epstein, C.J. Fewster, K. Fredenhagen, C. G?rard, D. Iagolnitzer, C.D. J?kel, C. Kopper, G. Lechner, G. Morchio, U. Moschella, J. Mund, H. Narnhofer, G. Piacitelli, K.-H. Rehren, P.L. Ribeiro, V. Rivasseau, J.E. Roberts, B. Schroer, O. Steinmann, F. Strocchi, G.A. Viano, F. Vignes-Tourneret
Content:
Front Matter....Pages I-VI
Introduction....Pages 1-10
Local Counterterms on the Noncommutative Minkowski Space....Pages 11-26
Massless Scalar Field in a Two-dimensional de Sitter Universe....Pages 27-38
Locally Covariant Quantum Field Theories....Pages 39-47
Asymptotic Abelianness and Braided Tensor C*-Categories....Pages 49-64
Yang-Mills and Some Related Algebras....Pages 65-78
Remarks on the Anti-de Sitter Space-Time....Pages 79-93
Quantum Energy Inequalities and Stability Conditions in Quantum Field Theory....Pages 95-111
Action Ward Identity and the St?ckelberg-Petermann Renormalization Group....Pages 113-123
On the Relativistic KMS Condition for the P(?)2 Model....Pages 125-140
The Analyticity Program in Axiomatic Quantum Field Theory....Pages 141-159
Renormalization Theory Based on Flow Equations....Pages 161-174
Towards the Construction of Quantum Field Theories from a Factorizing S-Matrix....Pages 175-197
String-Localized Covariant Quantum Fields....Pages 199-212
Quantum Anosov Systems....Pages 213-223
DFR Perturbative Quantum Field Theory on Quantum Space Time, and Wick Reduction....Pages 225-237
On Local Boundary CFT and Non-Local CFT on the Boundary....Pages 239-252
Algebraic Holography in Asymptotically Simple, Asymptotically AdS Space-times....Pages 253-270
Non-Commutative Renormalization....Pages 271-281
New Constructions in Local Quantum Physics....Pages 283-300
Physical Fields in QED....Pages 301-309
Complex Angular Momentum Analysis and Diagonalization of the Bethe-Salpeter Structure in Axiomatic Quantum Field Theory....Pages 311-326
Jacques Bros has greatly advanced our present understanding of rigorous quantum field theory through numerous fundamental contributions. This book arose from an international symposium held in honour of Jacques Bros on the occasion of his 70th birthday, at the Department of Theoretical Physics of the CEA in Saclay, France.
The impact of the work of Jacques Bros is evident in several articles in this book. Quantum fields are regarded as genuine mathematical objects, whose various properties and relevant physical interpretations must be studied in a well-defined mathematical framework.
The key topics in this volume include analytic structures of Quantum Field Theory (QFT), renormalization group methods, gauge QFT, stability properties and extension of the axiomatic framework, QFT on models of curved spacetimes, QFT on noncommutative Minkowski spacetime.
Contributors: D. Bahns, M. Bertola, R. Brunetti, D. Buchholz, A. Connes, F. Corbetta, S. Doplicher, M. Dubois-Violette, M. D?tsch, H. Epstein, C.J. Fewster, K. Fredenhagen, C. G?rard, D. Iagolnitzer, C.D. J?kel, C. Kopper, G. Lechner, G. Morchio, U. Moschella, J. Mund, H. Narnhofer, G. Piacitelli, K.-H. Rehren, P.L. Ribeiro, V. Rivasseau, J.E. Roberts, B. Schroer, O. Steinmann, F. Strocchi, G.A. Viano, F. Vignes-Tourneret
Content:
Front Matter....Pages I-VI
Introduction....Pages 1-10
Local Counterterms on the Noncommutative Minkowski Space....Pages 11-26
Massless Scalar Field in a Two-dimensional de Sitter Universe....Pages 27-38
Locally Covariant Quantum Field Theories....Pages 39-47
Asymptotic Abelianness and Braided Tensor C*-Categories....Pages 49-64
Yang-Mills and Some Related Algebras....Pages 65-78
Remarks on the Anti-de Sitter Space-Time....Pages 79-93
Quantum Energy Inequalities and Stability Conditions in Quantum Field Theory....Pages 95-111
Action Ward Identity and the St?ckelberg-Petermann Renormalization Group....Pages 113-123
On the Relativistic KMS Condition for the P(?)2 Model....Pages 125-140
The Analyticity Program in Axiomatic Quantum Field Theory....Pages 141-159
Renormalization Theory Based on Flow Equations....Pages 161-174
Towards the Construction of Quantum Field Theories from a Factorizing S-Matrix....Pages 175-197
String-Localized Covariant Quantum Fields....Pages 199-212
Quantum Anosov Systems....Pages 213-223
DFR Perturbative Quantum Field Theory on Quantum Space Time, and Wick Reduction....Pages 225-237
On Local Boundary CFT and Non-Local CFT on the Boundary....Pages 239-252
Algebraic Holography in Asymptotically Simple, Asymptotically AdS Space-times....Pages 253-270
Non-Commutative Renormalization....Pages 271-281
New Constructions in Local Quantum Physics....Pages 283-300
Physical Fields in QED....Pages 301-309
Complex Angular Momentum Analysis and Diagonalization of the Bethe-Salpeter Structure in Axiomatic Quantum Field Theory....Pages 311-326
....