Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-perturbative path integral quantization of the electroweak model:
  the Maxwell integration   The non-perturbative path integral quantization of the electroweak model is
confronted with an apparent instability when integrating over the Maxwell
potential $A_{\mu}$ due to the fast growth of the box graphs $AAAA$ and $AAAZ$
for large amplitude variations of $A_{\mu}$. $Z_{\mu}$ is from the vector part
of the weak neutral current. These graphs are unavoidable because they are
conditionally convergent and have to be isolated in the model's exact Euclidean
one-loop effective action arising from its fermion determinants. A previous QED
calculation of the large amplitude variation of its fermion determinant for a
class of random potentials showed that the $AAAA$ box graph cancels in this
limit. Using this result it is shown that within the electroweak model large
amplitude variations of $A_{\mu}$ for fixed $Z_{\mu}$ in a superposition of
these fields cancel the $AAAA$ and $AAAZ$ graphs, thereby removing an apparent
obstacle to the model's non-perturbative quantization. A negative paramagnetic
term in the remainder opposes the effective action's growth for such
variations. Its calculation requires knowledge of the degeneracy of the bound
states of a charged fermion in the four-dimensional magnetic fields generated
by the functional measure of $A_{\mu}$.

22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin