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A generalized form of EPR state is defined, embracing both classical andnonclassical states. It is shown that for such states, Bell's inequality isequivalent to a constraint on stochastic field theories. Thus, violation ofBell's inequality can be observed also for weak violation of stochastic fieldtheories. The Schrodinger cat state is shown to be an example of this.Comment: 10 pages, 5 figures, accepted to Phys. Rev.

Equivalence between Bell’s inequality and a constraint on stochastic field theories for Einstein-Podolsky-Rosen states