Hadamard States from Light-like Hypersurfaces

• Main Authors: Dappiaggi, Claudio (Author), Moretti, Valter (Author), Pinamonti, Nicola (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: SpringerBriefs in Mathematical Physics, 25
• Subjects: Physics.; Algebra.; Field theory (Physics).; Mathematical physics.; Quantum field theory.; String theory.; Cosmology.; Quantum Field Theories, String Theory.; Mathematical Physics.; Field Theory and Polynomials.

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 providin...

Table of Contents:

• Introduction
• Algebraic approach to quantum field theory on curved spacetimes
• States with good physical properties
• Bulk to boundary correspondence and construction of Hadamard states
• General geometric setup
• Globally hyperbolic spacetimes
• Spacetimes with distinguished light-like 3-surfaces
• Quantum Fields in spacetimes with null surfaces
• Algebra of observables in globally hyperbolic spacetimes
• Observables on null infinity
• The bulk-to-boundary algebra injection
• Boundary-Induced Hadamard States
• Algebraic States and the Hadamard Condition
• The Bulk-To-Boundary Correspondence for States
• Some further applications
• Wick Polynomials and Extended Observables Algebras
• Extended algebra of fields
• Extension of the algebra on the boundary
• Interplay Between Algebras and States on D and on C.