Abstract
A conjecture concerning vacuum correlations in axiomatic quantum field theory is proved. It is shown that this result can be applied both in the context of EPR-type experiments and Bell-type experiments.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. Butterfield, “Vacuum Correlations and outcome dependence in algebraic quantum field theory,” Ann. N. Y. Acad. Sci. 755 768–85 (1995).
R.K. Clifton, D.V. Feldman, M.L.G. Redhead, and A. Wilce, “Hyperentangled states,” quant-ph/9711020.
W. Driessler, “Comments on lightlike translations and applications in relativistic quantum field theory,” Comm. Math. Phys. 44, 133–141 (1975).
A. Einstein, B. Podolsky, N. Rosen, “Can quantum-mechanical description of physical reality be considered complete,” Phys. Rev. 47 777–80 (1935); Reprinted in, J. A. Wheeler and W.H. Zurek, eds., Quantum Theory and Measurement (Princeton University Press, Princeton, 1983), pp. 138–41.
K. Fredenhagen, “A Remark on the Cluster Theorem,” Comm. Math. Phys. 97, 461–3 (1985).
R. Haag, Local Quantum Physics, corrected 2nd printing (Springer, New York, 1993).
K.-E. Hellweg and K. Kraus, “Operations and measurements II,” Comm. Math. Phys. 16, 142–7 (1970).
S. S. Horuzhy, Introduction to Algebraic Quantum Field Theory (Kluwer Academic, Dordrecht, 1990).
L.J. Landau, “On the violation of Bell’s inequality in quantum theory,” Phys. Lett. A 120 (2), 54–6 (1987).
L.J. Landau, “On the non-classical structure of the vacuum,” it Phys. Lett. A 123 (3), 115–8 (1987).
A. L. Licht, “Local states,” J. Math. Phys. 7 (7), 1656–9 (1966).
D. Malament, private communication.
M.G.L. Redhead, Incompleteness, Nonlocality, and Realism (Oxford University Press, Oxford, 1987).
M.G.L. Redhead, “More ado about nothing,” Found. Phys. 25 (1), 123–137 (1995).
M.G.L. Redhead, “The Vacuum in relativistic quantum field theory,” in D. Hull, M. Forbes, and R.M. Burian, eds., Proceedings Redhead and Wagner of the Biennial Meeting of the Philosophy of Science Association, Vol. 2 (PSA, East Lansing, 1995), pp. 77–87.
M.G.L. Redhead and P. La Riviere, “The relativistic EPR argument,” in R. Cohen, M. Home, and J. Stachel, eds., Potentiality, Entanglement and Passion-at-a-Distance: Quantum Mechanical Studies for Abner Shimony, Vol. 2, (Kluwer, Dordrecht, 1997), pp. 207–215.
M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 1, Functional Analysis, revised and enlarged edn. (Academic, San Diego, 1980).
H. Reeh and S. Schlieder, “Bemerkungen zur Unitäräquivalenz von Lorentzinvarianten Feldern,” Nuovo Cimento 22 (5), 1051–68 (1961).
S. J. Summers, “On the independence of local algebras in quantum field theory,” Rev. Math. Phys. 2 (2), 201–47 (1990).
S. J. Summers, and R. Werner, “The vacuum violates Bell’s inequalities,” Phys. Lett. A 110 (5), 257–9 (1985).
S. J. Summers, “Bell’s inequalities and quantum field theory, I. General setting,” J. Math. Phys 28 (10), 2440–7 (1987).
S. J. Summers, “Bell’s inequalities and quantum field theory, II. Bell’s inequalities are maximally violated in the vacuum,” J. Math. Phys 28 (10), 2447–56 (1987).
S. J. Summers, “Maximal violation of Bell’s inequalities is generic in quantum field theory,” Comm. Math. Phys. 1(10), 247–59 (1987).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Redhead, M.L.G., Wagner, F. Unified Treatment of EPR and Bell Arguments in Algebraic Quantum Field Theory. Found Phys Lett 11, 111–125 (1998). https://doi.org/10.1023/A:1022463114035
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1023/A:1022463114035