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
Streater, R. F. and Wightman, A. S.,PCT, Spin and Statistics, and All That, Benjamin, New York, 1964.
Haag, R.,Local Quantum Physics, Fields, Particles, Algebras, Springer-Verlag, Berlin, 1992.
Bisognano, J. J. and Wichmann, E. H., On the duality condition for quantum fields,J. Math. Phys. 17, 303 (1976).
Licht, A. L., Strict localization,J. Math. Phys. 4, 1443 (1963).
Araki, H., Hepp, K., and Ruelle, D., On the asymptotic behavior of Wightman functions in space-like directions,Helv. Phys. Acta 35, 164 (1962).
Ruelle, D., On the asymptotic condition in quantum field theory,Helv. Phys. Acta 35, 147 (1962).
Fredenhagen, K., A remark on the cluster theorem,Comm. Math. Phys. 97, 461 (1985).
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).
Jost, R.,The General Theory of Quantized Fields, Amer. Math. Soc. Providence, R.I., 1965.
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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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DOI: https://doi.org/10.1007/BF00739566