Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-perturbative quantization of the electroweak model's electrodynamic
  sector   Consider the Euclidean functional integral representation of any physical
process in the electroweak model. Integrating out the fermion degrees of
freedom introduces twenty-four fermion determinants. These multiply the
Gaussian functional measures of the Maxwell, $Z$, $W$ and Higgs fields to give
an effective functional measure. Suppose the functional integral over the
Maxwell field is attempted first. This paper is concerned with the large
amplitude behavior of the Maxwell effective measure. It is assumed that the
large amplitude variation of this measure is insensitive to the presence of the
$Z$, $W$ and $H$ fields; they are assumed to be a subdominant perturbation of
the large amplitude Maxwell sector. Accordingly, we need only examine the large
amplitude variation of a single QED fermion determinant. To facilitate this the
Schwinger proper time representation of this determinant is decomposed into a
sum of three terms. The advantage of this is that the separate terms can be
non-perturbatively estimated for a measurable class of large amplitude random
fields in four dimensions. It is found that the QED fermion determinant grows
faster than $\exp \left[ce^2\int\mathrm d^4x\, F_{\mu\nu}^2\right]$, $c>0$, in
the absence of zero mode supporting random background potentials. This raises
doubt on whether the QED fermion determinant is integrable with any Gaussian
measure whose support does not include zero mode supporting potentials.
  Including zero mode supporting background potentials can result in a decaying
exponential growth of the fermion determinant. This is \textit{prima facie}
evidence that Maxwellian zero modes are necessary for the non-perturbative
quantization of QED and, by implication, for the non-perturbative quantization
of the electroweak model.

22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
19
The categories of this paper are: eess
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg