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Euclidean Relativistic Quantum Mechanics: Scattering Asymptotic Conditions

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Abstract

We discuss the formulation of the scattering asymptotic condition in a relativistic quantum theory formulated in terms of reflection positive Euclidean Green functions.

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References

  1. J.S. Schwinger, Proc. Natl. Acad. Sci. USA 44, 956 (1958)

    Article  ADS  Google Scholar 

  2. L. Maiani, M. Testa, Phys. Lett. B 245, 585 (1990)

    Article  ADS  Google Scholar 

  3. K. Osterwalder, R. Schrader, Commun. Math. Phys. 31, 83 (1973)

    Article  ADS  Google Scholar 

  4. G. Aiello, W.N. Polyzou. Phys. Rev. D93, 056003 (2016). arXiv:1512.03651

  5. W.N. Polyzou, Phys. Rev. D89, 076008 (2014). arXiv:1312.03585

  6. A. Klein, L. Landau, J. Funct. Anal. 44, 121 (1981)

    Article  MathSciNet  Google Scholar 

  7. A. Klein, L. Landau, Commun. Math. Phys 87, 469 (1983)

    Article  ADS  Google Scholar 

  8. J. Frohlich, K. Osterwalder, E. Seiler, Ann. Math. 118, 461 (1983)

    Article  MathSciNet  Google Scholar 

  9. J. Glimm, A. Jaffe, Quantum Physics: A functional Integral Point of View (Springer, Berlin, 1981)

    Book  MATH  Google Scholar 

  10. J. Cook, J. Math. Phys. 36, 82 (1957)

    Article  MathSciNet  Google Scholar 

  11. R. Jost, The General Theory of Quantized Fields (AMS, Providence, RI, 1965)

    MATH  Google Scholar 

  12. R. Haag, Phys. Rev. 112, 669 (1958)

    Article  ADS  MathSciNet  Google Scholar 

  13. D. Ruelle, Helv. Phys. Acta 35, 147 (1962)

    MathSciNet  Google Scholar 

  14. T. Carleman, Les fonctions quasi analytiques, Collection de Monographies sur la Théorie des Fonctions (Gauthier-Villars, Paris, 1926)

    Google Scholar 

  15. N.I. Akheizer, The Classical Moment Problem and Some Related Questions in Analysis (Oliver and Boyd, Edinburgh and London, 1965)

    Google Scholar 

  16. T. Kato, Perturbation Theory for Linear Operators (Spinger, Berlin, 1966)

    Book  MATH  Google Scholar 

  17. C. Chandler, A. Gibson, Indiana J. Math. 25, 443 (1976)

    Article  Google Scholar 

  18. P. Kopp, W.N. Polyzou, Phys. Rev. D85, 016004 (2012). arXiv:1106.4086

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Correspondence to W. N. Polyzou.

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This article belongs to the Topical Collection “Light Cone 2016”.

Supported by the US DOE office of science—award number DE-SC0016457.

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Polyzou, W.N., Aiello, G.J. Euclidean Relativistic Quantum Mechanics: Scattering Asymptotic Conditions. Few-Body Syst 58, 78 (2017). https://doi.org/10.1007/s00601-017-1221-6

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  • DOI: https://doi.org/10.1007/s00601-017-1221-6

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