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Causality and Unitarity via the Tree-Loop Duality Relation · Around

2017

Causality and Unitarity via the Tree-Loop Duality Relation

Tomboulis, E. T.

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Understand

The tree-loop duality relation is used as a starting point to derive the constraints of causality and unitarity.

Specifically, the Bogoliubov causality condition is ab initio derived at the individual graph level.
It leads to a representation of a graph in terms of lower order cut graphs.
Extracting the absorptive part gives then the general unitarity relation (Cutkosky rule).

Built on

N. N. Bogoliubov and D. V. Shirkov, Fortschr. der Physik, 3 (1955) 439; N. N. Bogoliubov, B. Medvedev and M. Polivanov, ibid, 6 (1958) 169
1958
Earlier work this paper cites.
N. N. Bogoliubov and D. V. Shirkov, Introduction to the theory of quantized fields
1959
Earlier work this paper cites.
R. P. Feynman, Closed loops and tree diagrams
1963
Earlier work this paper cites.
M. Veltman, Physica 29
1963
Earlier work this paper cites.
R. F. Streater and A. S. Wightman, PCT, Spin, Statistics all All That
1964
Earlier work this paper cites.
E. T. Tomboulis, Phys. Lett. 67B (1977) 417
1977
Earlier work this paper cites.

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2008
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Cited in the paper.

Then

I. Bierenbaum, S. Catani, P. Draggiotis and G. Rodrigo, JHEP 1010
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2010
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I. Bierenbaum, S. Buchta, P. Draggiotis, I. Malamos and G. Rodrigo, JHEP 1303
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2013
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S. Buchta, G. Chachamis, P. Draggiotis, I. Malamos and G. Rodrigo, JHEP 1411
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2014
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G. Chachamis, S. Buchta, P. Draggiotis and G. Rodrigo, PoS(DIS2016) 067 (XXIV Int. Workshop on Deep-Inelastic Scattering 2016) [arXiv:1607.00875]
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2016
Later among the works it cites.
R. Dickinson, J. Forshaw, P. Millington, arXiv:1702.04602; Phys. Rev. D 93
Original

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S. Buchta, G. Chachamis, P. Draggiotis and G. Rodrigo, arXiv:1510.00187

Cited in the paper.

R. Dickinson, J. Forshaw, P. Millington and B. Cox, JHEP 1406

Cited in the paper.

S. Abreu, F. Febres Cordero, H. Ita, M. Jaquier, B. Page and M. Zeng, arXiv:1703.05273

Cited in the paper.

2016

Later among the works it cites.