Hadamard States from Light-like Hypersurfaces

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Quantum Theory
Cover of the book Hadamard States from Light-like Hypersurfaces by Claudio Dappiaggi, Nicola Pinamonti, Valter Moretti, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Claudio Dappiaggi, Nicola Pinamonti, Valter Moretti ISBN: 9783319643434
Publisher: Springer International Publishing Publication: September 27, 2017
Imprint: Springer Language: English
Author: Claudio Dappiaggi, Nicola Pinamonti, Valter Moretti
ISBN: 9783319643434
Publisher: Springer International Publishing
Publication: September 27, 2017
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book The Carrera Revolt and 'Hybrid Warfare' in Nineteenth-Century Central America by Claudio Dappiaggi, Nicola Pinamonti, Valter Moretti
Cover of the book RoboCup 2015: Robot World Cup XIX by Claudio Dappiaggi, Nicola Pinamonti, Valter Moretti
Cover of the book Adherence in Dermatology by Claudio Dappiaggi, Nicola Pinamonti, Valter Moretti
Cover of the book Spatial Similarity Relations in Multi-scale Map Spaces by Claudio Dappiaggi, Nicola Pinamonti, Valter Moretti
Cover of the book The External Sector of Africa's Economy by Claudio Dappiaggi, Nicola Pinamonti, Valter Moretti
Cover of the book Intelligent Web Data Management: Software Architectures and Emerging Technologies by Claudio Dappiaggi, Nicola Pinamonti, Valter Moretti
Cover of the book Manipulation of Multiphase Materials for Touch-less Nanobiotechnology by Claudio Dappiaggi, Nicola Pinamonti, Valter Moretti
Cover of the book Tele-Improvisation: Intercultural Interaction in the Online Global Music Jam Session by Claudio Dappiaggi, Nicola Pinamonti, Valter Moretti
Cover of the book Global Developments in Literacy Research for Science Education by Claudio Dappiaggi, Nicola Pinamonti, Valter Moretti
Cover of the book Denken ohne Sprache by Claudio Dappiaggi, Nicola Pinamonti, Valter Moretti
Cover of the book 5G Wireless Systems by Claudio Dappiaggi, Nicola Pinamonti, Valter Moretti
Cover of the book The Hunt for Earth Gravity by Claudio Dappiaggi, Nicola Pinamonti, Valter Moretti
Cover of the book Constructions of Victimhood by Claudio Dappiaggi, Nicola Pinamonti, Valter Moretti
Cover of the book Umbilical Cord Blood Banking and Transplantation by Claudio Dappiaggi, Nicola Pinamonti, Valter Moretti
Cover of the book e-Infrastructure and e-Services for Developing Countries by Claudio Dappiaggi, Nicola Pinamonti, Valter Moretti
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy