Hadamard States from Light-Like Hypersurfaces

ISBN-13: 9783319643427 / Angielski / Miękka / 2017 / 106 str.

Claudio Dappiaggi; Valter Moretti; Nicola Pinamonti

Opis

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.

Recenzje

"The book is brief, good review of the relevance and applications of Hadamard states in scalar field theories, intended for readers with special interest in the mathematical aspects of quantum field theory in curved spacetimes." (Guillermo A. Mena Maruga n, Mathematical Reviews, May 2018)

Spis treści

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.