References

XA

N. Cheung. {Landmark X-A: Classical covariance of one fixed-regulator switched relational scalar through order ${\kappa }^2$}. Supplied manuscript X-A.tex. Used for the frozen action, density and coordinate coefficients, naturality, plateau covariance, classical responses, and edge witness.

XB

N. Cheung. Landmark X-B: Fixed-regulator admission and one retarded correction for the ramp relational scalar, with the metric kept classical. Supplied manuscript X-B-v3.tex. Used for admission, the free algebra, insertion tests, first map, off-shell warning, mixed transformation, and second-order truncation.

BGP

C. Bär, N. Ginoux, and F. Pfäffle. Wave Equations on Lorentzian Manifolds and Quantization. European Mathematical Society, 2007. arXiv:0806.1036. Chapter 3 supplies Green-operator and Cauchy facts; Theorem 3.4.7 supplies the exact sequence used in the pairing cross-check.

FR

K. Fredenhagen and K. Rejzner. Perturbative algebraic quantum field theory. arXiv:1208.1428. Used here for the finite polynomial Wick contraction presentation in the local leg count, not for a general product or closure theorem.

DF

M. Dütsch and K. Fredenhagen. Causal perturbation theory in terms of retarded products, and a proof of the Action Ward Identity. Reviews in Mathematical Physics 16 (2004), 1291–1348. arXiv:hep-th/0403213. Comparison background for off-shell retarded-product terminology; no complete hierarchy from that programme is claimed as constructed here.