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About matrix elements of spatial translations in local field theories

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Abstract

Some results of Fredenhagen concerning the asymptotic behavior of matrix elements of translation operators in local quantum field theories are discussed. An alternative derivation and generalizations are presented.

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References

  1. Streater, R. F. and Wightman, A. S.,PCT, Spin and Statistics, and All That, Benjamin, New York, 1964.

    Google Scholar 

  2. Haag, R.,Local Quantum Physics, Fields, Particles, Algebras, Springer-Verlag, Berlin, 1992.

    Google Scholar 

  3. Bisognano, J. J. and Wichmann, E. H., On the duality condition for quantum fields,J. Math. Phys. 17, 303 (1976).

    Google Scholar 

  4. Licht, A. L., Strict localization,J. Math. Phys. 4, 1443 (1963).

    Google Scholar 

  5. Araki, H., Hepp, K., and Ruelle, D., On the asymptotic behavior of Wightman functions in space-like directions,Helv. Phys. Acta 35, 164 (1962).

    Google Scholar 

  6. Ruelle, D., On the asymptotic condition in quantum field theory,Helv. Phys. Acta 35, 147 (1962).

    Google Scholar 

  7. Fredenhagen, K., A remark on the cluster theorem,Comm. Math. Phys. 97, 461 (1985).

    Google Scholar 

  8. Driessler, W., Summers, S. J., and Wichmann, E. H., On the connection between quantum fields and von Neumann algebras of local operators,Comm. Math. Phys. 105, 49 (1986).

    Google Scholar 

  9. Jost, R.,The General Theory of Quantized Fields, Amer. Math. Soc. Providence, R.I., 1965.

    Google Scholar 

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Thomas, L.J., Wichmann, E.H. About matrix elements of spatial translations in local field theories. Lett Math Phys 28, 49–58 (1993). https://doi.org/10.1007/BF00739566

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