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.
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.