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Temporally ordered graphs in quantum field theory

Published online by Cambridge University Press:  24 October 2008

J. C. Polkinghorne
J. C. Polkinghorne
Affiliation:
Trinity CollegeCambridge
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Abstract

The S matrix is expressed in terms of momentum-space operators and its Cayley transform exhibited. A new graphical formalism called O-graphs is developed in which the vertices are temporally ordered and the lines represent real particles. This is used to prove a conjecture of Gupta concerning the relation of real and virtual processes to the Cayley transform. The transformation operator for a semi-infinite time interval is also considered and some of its properties demonstrated. In conclusion, another graphical formalism with temporally ordered vertices is developed and renormalized.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 51 , Issue 1 , January 1955 , pp. 113 - 120
Copyright
Copyright © Cambridge Philosophical Society 1955

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References

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