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Can anyone refer me to some sources on generalizations of Bell's inequalities to quantum field theory (as opposed to quantum mechanics)? Scalar fields would be enough.

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There is no difference--- the field theory states corresponding to spinning particles are sufficient, and identical at low energy to the ordinary Bell states. –  Ron Maimon Nov 9 '12 at 5:36
    
Check out Tsirelson's problem: qig.itp.uni-hannover.de/qiproblems/… –  Jon Bannon Nov 9 '12 at 17:59

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Read the papers (and recent references citing them) by S. J. Summers and R. Werner in 1987: "Bell's Inequalities and Quantum Field Theory. I. General Setting," Journal of Mathematical Physics 28: 2440-2447, 1987; "Bell's Inequalities and Quantum Field Theory. II. Bell's Inequalities are Maximally Violated," Journal of Mathematical Physics 28: 2448-2456, 1987; "Maximal Violation of Bell's Inequalities is Generic in Quantum Field Theory," Communications in Mathematical Physics 110: 247-259, 1987.

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Can you perhaps elaborate more? –  Ali Dec 8 '13 at 22:01

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