Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the problem of hidden variables for quantum field theory   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.

9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int