Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Mathematical Physics (BRIEFSMAPHY, volume 25)
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Table of contents (5 chapters)
Keywords
- Algebraic Quantum Field Theory
- Algebraic QFT
- bulk-to-boundary correspondence
- asymptotically flat spacetimes
- BMS group physics
- Dirac fields
- Schwarzschild spacetime
- Unruh state
- Curved spacetime
- Bondi-Metzner-Sachs group
- Cosmological horizon
- Null infinity
- GNS construction
- Hawking radiation
- Wick polynomials
- Cosmological spacetime
- Scalar field theory
About this book
This book provides a rather self-contained survey of the construction of Hadamard states for scalar field theories in a large class of notable spacetimes, possessing a (conformal) light-like boundary. The first two sections focus on explaining a few introductory aspects of this topic and on providing the relevant geometric background material. The notions of asymptotically flat spacetimes and of expanding universes with a cosmological horizon are analysed in detail, devoting special attention to the characterization of asymptotic symmetries. In the central part of the book, the quantization of a real scalar field theory on such class of backgrounds is discussed within the framework of algebraic quantum field theory. Subsequently it is explained how it is possible to encode the information of the observables of the theory in a second, ancillary counterpart, which is built directly on the conformal (null) boundary.
This procedure, dubbed bulk-to-boundary correspondence, has the net advantage of allowing the identification of a distinguished state for the theory on the boundary, which admits a counterpart in the bulk spacetime which is automatically of Hadamard form. In the last part of the book, some applications of these states are discussed, in particular the construction of the algebra of Wick polynomials. This book is aimed mainly, but not exclusively, at a readership with interest in the mathematical formulation of quantum field theory on curved backgrounds.
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Authors and Affiliations
Bibliographic Information
Book Title: Hadamard States from Light-like Hypersurfaces
Authors: Claudio Dappiaggi, Valter Moretti, Nicola Pinamonti
Series Title: SpringerBriefs in Mathematical Physics
DOI: https://doi.org/10.1007/978-3-319-64343-4
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Author(s) 2017
Softcover ISBN: 978-3-319-64342-7Published: 10 October 2017
eBook ISBN: 978-3-319-64343-4Published: 27 September 2017
Series ISSN: 2197-1757
Series E-ISSN: 2197-1765
Edition Number: 1
Number of Pages: VIII, 106
Number of Illustrations: 2 b/w illustrations
Topics: Quantum Field Theories, String Theory, Mathematical Physics, Cosmology, Field Theory and Polynomials