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The complete proof of cutting rules needed for proving perturbative unitarity of quantum field theories usually employs the largest time equation or old fashioned perturbation theory.
R. E. Cutkosky, “Singularities and discontinuities of Feynman amplitudes,” J. Math. Phys. 1
1960
Earlier work this paper cites.
S. Mandelstam, “Unitarity Condition Below Physical Thresholds in the Normal and Anomalous Cases,” Phys. Rev. Lett. 4
1960
Earlier work this paper cites.
R. E. Cutkosky, “Anomalous Thresholds”, Rev. Mod. Phys. 33
1961
Earlier work this paper cites.
M. Fowler, “Introduction to Momentum Space Integration Techniques in Perturbation Theory”, Journal of Mathematical Physics 3, 936 (1962); doi: 10.1063/1.1724310
1962
Cited alongside, same era.
M. J. G. Veltman, “Unitarity and causality in a renormalizable field theory with unstable particles,” Physica 29
1963
Cited alongside, same era.
G. ’t Hooft and M. J. G. Veltman, “Diagrammar,” NATO Sci. Ser. B 4
1974
Cited alongside, same era.
R. Zwicky, “A brief Introduction to Dispersion Relations and Analyticity,” arXiv:1610.06090 [hep-ph]
Cited in the paper.
Cited in the paper.
R. Pius and A. Sen, “Cutkosky Rules for Superstring Field Theory,” arXiv:1604.01783v3 [hep-th]]
Cited in the paper.
Cited in the paper.
D. Anselmi, “Algebraic cutting equations,” arXiv:1612.07148 [hep-th]
Cited in the paper.
G. F. Sterman, “An Introduction to quantum field theory,” Cambridge University Press (1993)
1993
Later among the works it cites.
E. T. Tomboulis, “Causality and Unitarity via the Tree-Loop Duality Relation,” JHEP 1705
2017
Later among the works it cites.
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