Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On noise-resolution uncertainty in quantum field theory   An uncertainty inequality is presented that establishes a lower limit for the
product of the variance of the time-averaged intensity of a mode of a quantized
electromagnetic field and the degree of its spatial localization. The lower
limit is determined by the vacuum fluctuations within the volume corresponding
to the width of the mode. This result also leads to a generalized form of the
Heisenberg uncertainty principle for boson fields in which the lower limit for
the product of uncertainties in the spatial and momentum localization of a mode
is equal to the product of Planck's constant and a dimensionless functional
which reflects the joint signal-to-noise ratio of the position and momentum of
vacuum fluctuations in the region of the phase space occupied by the mode.
Experimental X-ray synchrotron measurements provide an initial verification of
the proposed theory in the case of Poisson statistics.

11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio