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Particle localization in field theory

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Abstract

The localization properties of particles in field theory are studied with the help of a convenient mathematical description of counters. It is shown that field theory is capable of explaining the observed localization patterns. Apart from the usual axioms of field theory we have to assume some smoothness properties of the Green's functions in momentum space.

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References

  1. Araki, H., andR. Haag: Commun. Math. Phys.4, 77 (1967).

    Article  MathSciNet  ADS  Google Scholar 

  2. Robinson, D. W.: Contribution to: Axiomatic field theory, ed. byChrétien, M., andS. Deser. New York: Gordon & Breach 1966.

    Google Scholar 

  3. Lehmann, H., K. Symanzik, andW. Zimmermann: Nuovo Cimento1, 205 (1955).

    Article  MathSciNet  MATH  Google Scholar 

  4. Haag, R., andD. Kastler: J. Math. Phys.5, 848 (1964).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. Borchers, H. J.: Nuovo Cimento19, 787 (1960).

    Article  MathSciNet  Google Scholar 

  6. Araki, H.: Helv. Phys. Acta36, 132 (1963).

    MathSciNet  MATH  Google Scholar 

  7. Streater, R. F., andA. S. Wightman: PCT, spin and statistics, and all that, p. 139. New York: Benjamin 1964.

    MATH  Google Scholar 

  8. Newton, T. D., andE. P. Wigner: Rev. Mod. Phys.21, 400 (1949).

    Article  ADS  MATH  Google Scholar 

  9. Wightman, A. S.: Rev. Mod. Phys.34, 845 (1962).

    Article  MathSciNet  ADS  Google Scholar 

  10. Coleman, S., andR. E. Norton: Nuovo Cimento38, 438 (1965).

    Article  Google Scholar 

  11. Zimmermann, W.: Nuovo Cimento13, 503 (1959);16, 690 (1960).

    Article  MATH  Google Scholar 

  12. Epstein, H.: Contribution to: Axiomatic field theory, ed.Chrétien, M., andS. Deser. New York: Gordon & Breach 1966.

    Google Scholar 

  13. Zimmermann, W.: Nuovo Cimento21, 249 (1961).

    Article  MATH  Google Scholar 

  14. Goldberger, M. L., andK. M. Watson: Collision theory, pp. 445–450, and references quoted there. New York: John Wiley and Sons 1964.

    MATH  Google Scholar 

  15. Frazer, W. R., andS. Peyton: Ann. Phys.40, 46 (1966).

    Article  ADS  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

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  1. O. Steinmann

    Present address: Institut für Theoretische Physik, Universität Göttingen, Germany

Authors and Affiliations

  1. CERN, Geneva

    O. Steinmann

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  1. O. Steinmann
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Steinmann, O. Particle localization in field theory. Commun.Math. Phys. 7, 112–137 (1968). https://doi.org/10.1007/BF01648330

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