Book contents
- Frontmatter
- Contents
- 1 Introduction to Modern Methods for Classical and Quantum Fields in General Relativity
- 2 Geometry of Black Hole Spacetimes
- 3 An Introduction to Conformal Geometry and Tractor Calculus, with a view to Applications in General Relativity
- 4 An Introduction to Quantum Field Theory on Curved Spacetimes
- 5 A Minicourse on Microlocal Analysis for Wave Propagation
- References
4 - An Introduction to Quantum Field Theory on Curved Spacetimes
Published online by Cambridge University Press: 21 December 2017
Book contents
- Frontmatter
- Contents
- 1 Introduction to Modern Methods for Classical and Quantum Fields in General Relativity
- 2 Geometry of Black Hole Spacetimes
- 3 An Introduction to Conformal Geometry and Tractor Calculus, with a view to Applications in General Relativity
- 4 An Introduction to Quantum Field Theory on Curved Spacetimes
- 5 A Minicourse on Microlocal Analysis for Wave Propagation
- References
Summary
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- Type
- Chapter
- Information
- Asymptotic Analysis in General Relativity , pp. 171 - 218Publisher: Cambridge University PressPrint publication year: 2018
References
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[2] , , Wave Equations on Lorentzian Manifolds and Quantization, ESI Lectures in Mathematics and Physics, Springer, 2007.
[4] , and , Distinguished Quantum States in a Class of Cosmological Spacetimes and their Hadamard Property, . Phys. 50, 2009, 062304.
[5] , V.Moretti and , Rigorous Construction and Hadamard Property of the Unruh State in Schwarzschild Spacetime, Adv. Theor. Math. Phys. 15, 2011, 355.
[6] , , Hadamard States for the Vector Potential on Asymptotically Flat Spacetimes, Rev. Math. Phys. 25, 2013, 1350002.
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[10] . Aspects of Quantum Field Theory in Curved Space-Time, London Mathematical Society Student Texts, Cambridge University Press, 1989.Google Scholar
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[12] , , Construction of Hadamard States by Pseudo-differential Calculus, Comm. Math. Phys.
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[13] , , Hadamard States for the Linearized Yang-Mills Equation on Curved Spacetime, arXiv:1403.7153, 2014.
[14] , , Construction of Hadamard States by Characteristic Cauchy Problem, arXiv:1409.6691, 2014.
[15] , A Remark on the Characteristic Cauchy Problem, J. Funct. Anal. 93, 270–277, 1990.
[16] , Uniqueness Theorem for BMS-invariant States of Scalar QFT on the Null Boundary of Asymptotically Flat Spacetimes and Bulk-boundary Observable Algebra Correspondence, Comm. Math. Phys. 268, 727–756, 2006.
[17] , Quantum Out-states Holographically Induced by Asymptotic Flatness: Invariance under Space-time Symmetries, Energy Positivity and Hadamard Property, Comm. Math. Phys.
279, 31–75, 2008.
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214, 705–731, 2000.
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