Microlocal Analysis of Quantum Fields on Curved Spacetimes
Christian Gérard
Université de Paris 11, Orsay, France

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| FrontmatterDownload pp. i–iv | |
| ContentsDownload pp. v–viii | |
| 1 | IntroductionDownload pp. 1–5 |
| 2 | Free Klein–Gordon fields on Minkowski spacetimepp. 7–14 |
| 3 | Fock quantization on Minkowski spacepp. 15–20 |
| 4 | CCR algebras and quasi-free statespp. 21–42 |
| 5 | Free Klein–Gordon fields on curved spacetimespp. 43–63 |
| 6 | Quasi-free states on curved spacetimespp. 65–70 |
| 7 | Microlocal analysis of Klein–Gordon equationspp. 71–80 |
| 8 | Hadamard statespp. 81–91 |
| 9 | Vacuum and thermal states on stationary spacetimespp. 93–102 |
| 10 | Pseudodifferential calculus on manifoldspp. 103–114 |
| 11 | Construction of Hadamard states by pseudodifferential calculuspp. 115–128 |
| 12 | Analytic Hadamard states and Wick rotationpp. 129–141 |
| 13 | Hadamard states and characteristic Cauchy problempp. 143–157 |
| 14 | Klein–Gordon fields on spacetimes with Killing horizonspp. 159–167 |
| 15 | Hadamard states and scattering theorypp. 169–175 |
| 16 | Feynman propagator on asymptotically Minkowski spacetimespp. 177–185 |
| 17 | Dirac fields on curved spacetimespp. 187–207 |
| Bibliographypp. 209–214 | |
| General Indexpp. 215–217 | |
| Index of Notationspp. 219–220 |