Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the nonperturbative solution of Pauli--Villars-regulated light-front
  QED: A comparison of the sector-dependent and standard parameterizations   We consider quantum electrodynamics quantized on the light front in Feynman
gauge and regulated in the ultraviolet by the inclusion of massive,
negative-metric Pauli--Villars (PV) particles in the Lagrangian. The eigenstate
of the electron is approximated by a Fock-state expansion truncated to include
one photon. The Fock-state wave functions are computed from the fundamental
Hamiltonian eigenvalue problem and used to calculate the anomalous magnetic
moment, as a point of comparison. Two approaches are considered: a
sector-dependent parameterization, where the bare parameters of the Lagrangian
are allowed to depend on the Fock sectors between which the particular
Hamiltonian term acts, and the standard choice, where the bare parameters are
the same for all sectors. Both methods are shown to require some care with
respect to ultraviolet divergences; neither method can allow all PV masses to
be taken to infinity. In addition, the sector-dependent approach suffers from
an infrared divergence that requires a nonzero photon mass; due to
complications associated with this divergence, the standard parameterization is
to be preferred. We also show that the self-energy effects obtained from a
two-photon truncation are enough to bring the standard-parameterization result
for the anomalous moment into agreement with experiment within numerical
errors. This continues the development of a method for the nonperturbative
solution of strongly coupled theories, in particular quantum chromodynamics.

26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat