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On the connection between the LSZ and Wightman quantum field theory

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Abstract

The LSZ asymptotic condition and the Yang-Feldman equations are derived in a Wightman quantum field theory on a dense set of scattering states. The Green's distributions are shown to be sufficiently regular around the energy shell to give well-defined reduction formulae for the scattering amplitudes.

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References

  1. Jost, R.: Proceedings of the Sienna International Conference on Elementary Particles. Bologna 1963.

  2. Lehmann, H., K. Symanzik u.W. Zimmermann: Nuovo cimento1, 205 (1955);6, 319 (1957);Glaser, V., H. Lehmann u.W. Zimmermann: Nuovo cimento6, 1122 (1957).

    Google Scholar 

  3. Wightman, A. S.: Phys. Rev.101, 860 (1957); see also:R. F. Streater andA. S. Wightman: PCT, Spin and Statistics, and All That. New York: Benjamin 1964;R. Jost: General Theory of Quantized Fields, Providence. Am. Math. Soc. Publications (1965).

    Google Scholar 

  4. Haag, R.: Phys. Rev.112, 669 (1958).

    Google Scholar 

  5. Ruelle, D.: Helv. Phys. Acta35, 147 (1962).

    Google Scholar 

  6. Yang, C. N., andD. Feldman: Phys. Rev.79, 972 (1950).

    Google Scholar 

  7. Araki, H.: Vorlesungen über axiomatische Quantenfeldtheorie, ETH. Zürich 1961/62.

    Google Scholar 

  8. Araki, H., K. Hepp u.D. Ruelle: Helv. Phys. Acta35, 164 (1962).

    Google Scholar 

  9. Haag, R., u.D. W. Robinson: Private communication.

  10. Fierz, M.: Helv. Phys. Acta12, 3 (1939).

    Google Scholar 

  11. Steinmann, O.: Helv. Phys. Acta36, 90 (1963).

    Google Scholar 

  12. Schwartz, L.: Théorie des distributions, I, II. Paris 1957/59.

  13. Zimmermann, W.: Nuovo cimento13, 503 (1959);16, 690 (1960).

    Google Scholar 

  14. Ruelle, D.: Unpublished.

  15. Streater, R. F.: Nuovo cimento25, 274 (1962).

    Google Scholar 

  16. Symanzik, K.: J. Math. Physics1, 249 (1960).

    Google Scholar 

  17. Greenberg, O. W.: Thesis, Princeton 1956.

  18. Hepp, K.: Helv. Phys. Acta37, 639 (1964).

    Google Scholar 

  19. Källén, G.: Handbuch der Physik V,1. Berlin, Göttingen, Heidelberg: Springer 1958.

    Google Scholar 

  20. Rollnik, H., B. Stech u.E. Nunnemann: Z. Physik159, 482 (1960).

    Google Scholar 

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Research supported by the National Science Foundation.

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Hepp, K. On the connection between the LSZ and Wightman quantum field theory. Commun.Math. Phys. 1, 95–111 (1965). https://doi.org/10.1007/BF01646494

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