REVIEW 6 cited by
Wave Equations on Lorentzian Manifolds and Quantization
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
This book provides a detailed introduction to linear wave equations on Lorentzian manifolds (for vector-bundle valued fields). After a collection of preliminary material in the first chapter one finds in the second chapter the construction of local fundamental solutions together with their Hadamard expansion. The third chapter establishes the existence and uniqueness of global fundamental solutions on globally hyperbolic spacetimes and discusses Green's operators and well-posedness of the Cauchy problem. The last chapter is devoted to field quantization in the sense of algebraic quantum field theory. The necessary basics on C*-algebras and CCR-representations are developed in full detail. The text provides a self-contained introduction to these topics addressed to graduate students in mathematics and physics. At the same time it is intended as a reference for researchers in global analysis, general relativity, and quantum field theory.
Forward citations
Cited by 6 Pith papers
-
An equivalence theorem for algebraic and functorial QFT
A new n-to-1 Lorentzian bordism pseudo-operad makes additive time-slice AQFTs equivalent to functorial QFTs.
-
A generalization of the Fredenhagen-Haag derivation of Hawking radiation for a class of Vaidya space-times
A rigorous finite-window detector-response bound for massless scalar fields on Vaidya spacetimes, comparing the response to a frozen Schwarzschild thermal reference with explicit error terms.
-
The Cauchy Problem for Symmetric Hyperbolic Systems with Nonlocal Potentials
Under smallness and decay conditions on nonlocal potentials, symmetric hyperbolic systems on curved spacetimes admit strong solutions to the Cauchy problem, with a sharp threshold beyond which solutions fail.
-
Relative entropy for $\lambda \phi^4$ in the Rindler wedge
Relative entropy of vacuum vs coherent state for λφ⁴ in the Rindler wedge equals the classical interacting boost charge to O(λ) and obeys the Bekenstein bound.
-
Boundary Completion of Vacuum Persistence Probability
The Green's function prescription for the in-out effective action omits endpoint vacuum wavefunctional contributions; including them cancels the boundary obstruction and recovers the Bogoliubov vacuum persistence probability.
-
The Continuum Limit Analysis of Causal Fermion Systems for Curved Spacetimes
Causal fermion systems are constructed for globally hyperbolic spacetimes such that their continuum limit satisfies the Euler-Lagrange equations of the causal action principle if and only if the coupled Einstein-Dirac...
Discussion (0). Continue with ORCID to comment.