On the problem of hidden variables for quantum field theory

Details On the problem of hidden variables for quantum field theory On the problem of hidden variables for quantum field theory

2006-04-23

arxiv.org/abs/hep-th/0604163v1

Nuovo Cim.B121:505-521,2006

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1393/ncb/i2006-10055-4

We show that QFT (as well as QM) is not a complete physical theory. We constructed a classical statistical model inducing quantum field averages. The phase space consists of square integrable functions, $f(\phi),$ of the classical bosonic field, $\phi(x).$ We call our model prequantum classical statistical field-functional theory -- PCSFFT. The correspondence between classical averages given by PCSFFT and quantum field averages given by QFT is asymptotic. The QFT-average gives the main term in the expansion of the PCSFFT-average with respect to the small parameter $\alpha$ -- dispersion of fluctuations of "vacuum field functionals.'' The Scr\"odinger equation of QFT is obtained as the Hamilton equation for functionals, $F(f),$ of classical field functions, $f(\phi).$ The main experimental prediction of PCSFFT is that QFT gives only approximative statistical predictions that might be violated in future experiments.

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