Abstract
In this paper questions about vacuum fluctuations in local measurements, and the correlations between such fluctuations, are discussed. It is shown that maximal correlations always exist between suitably chosen local projection operators associated with spacelike separated regions of space-time, however far apart these regions may be. The connection of this result with the well-known Fregenhagen bound showing exponential decay of correlations with distance is explained, and the relevance of the discussion to the question “What do particle detectors detect?” is addressed.
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References
E. M. Henley and W. Thirring,Elementary Quantum Field Theory (McGraw-Hill, New York, 1962), Chap. 5.
G. C. Hegerfeldt, “Remark on causality and particle localization,”Phys. Rev. D 10, 3320 (1974).
G. N. Fleming, “Covariant position operators, spin, and locality,”Phys. Rev. 137, B188 (1965).
S. S. Horuzhy.Introduction to Algebraic Quantum Field Theory (Kluwer, Dordrecht. 1990).
R. Haag,Local Quantum Physics (Springer, Berlin, 1992).
H. Reeh and S. Schlieder, “Bemerkungen zur Unitäräquivalenz von Lorentzinvarianten Feldern,”Nuovo Cimento 22, 1051 (1961).
W. Driessler, “Comments on lightlike translations and applications in relativistic quantum field theory,”Commun. Math. Phys. 44, 133 (1975).
K. E. Hellwig and K. Kraus, “Operations and measurements II,”Commun. Math. Phys. 16, 142 (1970).
A. L. Licht, “Local states,”J. Math. Phys. 7, 1656 (1966).
K. Fredenhagen, “A remark on the cluster theorem,”Commun. Math. Phvs. 97, 461 (1985).
S. J. Summers and R. Werner, “The vacuum violates Bell's inequalities,”Phys. Lett. A 110, 257 (1985).
L. J. Landau, “On the violation of Bell's inequality in quantum theory,”Phvs. Lett. A 120, 54 (1987).
L. J. Landau, “On the nonclassical structure of the vacuum,”Phys. Lett. A. 123, 115 (1987).
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Redhead, M. More ado about nothing. Found Phys 25, 123–137 (1995). https://doi.org/10.1007/BF02054660
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DOI: https://doi.org/10.1007/BF02054660