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High-energy behaviour of Feynman amplitudes

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Il Nuovo Cimento A (1965-1970)

Summary

A method that is more general than existing ones is developed for the determination of the coefficient of the leading term in the high-energy expansions of an arbitrary Feynman integral. Some of the discussion is restricted to the case of heavy bosons having a ψ3-interaction, but it can be generalized to cover other types of Feynman integrals as well.

Riassunto

Si sviluppa un metodo più generale di quelli finora esistenti per la determinazione del coefficiente del termine principale negli sviluppi di alta energia di un integrale di Feynman arbitrario. Parte della discussione è limitata al caso di bosoni pesanti che hanno una interazione ψ3, ma può essere generalizzata sino ad includere anche altri tipi di integrali di Feynman.

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References

  1. J. C. Polkinghorne:Journ. Math. Phys.,4, 503 (1963);P. G. Federbush andM. T. Grisaru:Ann. Phys.,22, 263, 299 (1963);I. G. Halliday:Nuovo Cimento,30, 177 (1963);G. Tiktopoulos:Phys. Rev.,131, 480 (1963).

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  2. This point was first noted in a paper byJ. C. Polkinghorne:Nuovo Cimento 36, 857 (1964).

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  3. M. Menke:Nuovo Cimento,34, 351 (1964).

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  4. In all examples except i) in Sect. 5, the δ-function of the original numerator is omitted, because the graph is considered forming a part of a larger graph, so that all its variables may go to zero simultaneously.

  5. This method has already been used byCassandro andCini in a particular example.M. Cassandro andM. Cini:Nuovo Cimento,34, 1719 (1964).

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  6. J. D. Bjorken andT. T. Wu:Phys. Rev.,130, 2566 (1963);T. L. Trueman andT. Yao:Phys. Rev.,132, 2741 (1963);J. C. Polkinghorne:Journ. Math. Phys., 5, 421 (1964).

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Authors and Affiliations

  1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, USA

    B. Hamprecht

Authors
  1. B. Hamprecht
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Additional information

The research in this document has been sponsored in part by the Air Force Office of Scientific Research, OAR, under Grant AF EOAR 63-79 with the European Office of Aerospace Research, United States Air Force.

Traduzione a cura della Redazione.

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Hamprecht, B. High-energy behaviour of Feynman amplitudes. Nuovo Cimento A (1965-1970) 40, 542–559 (1965). https://doi.org/10.1007/BF02721043

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  • DOI: https://doi.org/10.1007/BF02721043

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