Manuscript X-A@1 · X-A.tex · bibliography · dc7f5c0a
References
Declarations · lines 2345–2392
BGP
C. Bär, N. Ginoux, and F. Pfäffle. Wave Equations on Lorentzian Manifolds and Quantization. ESI Lectures in Mathematics and Physics. European Mathematical Society, 2007. arXiv:0806.1036. Used for the smooth Cauchy problem, Green operators, and finite propagation.
Evans
L. C. Evans. Partial Differential Equations. Graduate Studies in Mathematics 19, second edition. American Mathematical Society, 2010. Used for the energy argument giving the domain of dependence of the constant-coefficient wave and Klein–Gordon operators.
Hormander
L. Hörmander. The Analysis of Linear Partial Differential Operators I. Grundlehren der mathematischen Wissenschaften 256, second edition. Springer, 1990. Used only for the rule that smooth multiplication and differentiation do not enlarge wavefront sets.
BFR
R. Brunetti, K. Fredenhagen, and K. Rejzner. Quantum gravity from the point of view of locally covariant quantum field theory. Communications in Mathematical Physics 345 (2016), 741–779. arXiv:1306.1058. Comparison background for relational observables; no theorem is used.
Frob
M. B. Fröb. Gauge-invariant quantum gravitational corrections to correlation functions. Classical and Quantum Gravity 35 (2018), 055006. arXiv:1710.00839. Comparison background; its Feynman-prescribed coordinate Green function is not the present Cauchy prescription.