Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear trident in the high-energy limit: Nonlocality, Coulomb field
  and resummations   We study nonlinear trident in laser pulses in the high-energy limit, where
the initial electron experiences, in its rest frame, an electromagnetic field
strength above Schwinger's critical field. At lower energies the dominant
contribution comes from the "two-step" part, but in the high-energy limit the
dominant contribution comes instead from the one-step term. We obtain new
approximations that explain the relation between the high-energy limit of
trident and pair production by a Coulomb field, as well as the role of the
Weizs\"acker-Williams approximation and why it does not agree with the
high-$\chi$ limit of the locally-constant-field approximation. We also show
that the next-to-leading order in the large-$a_0$ expansion is, in the
high-energy limit, nonlocal and is numerically very important even for quite
large $a_0$. We show that the small-$a_0$ perturbation series has a finite
radius of convergence, but using Pad\'e-conformal methods we obtain
resummations that go beyond the radius of convergence and have a large
numerical overlap with the large-$a_0$ approximation. We use
Borel-Pad\'e-conformal methods to resum the small-$\chi$ expansion and obtain a
high precision up to very large $\chi$. We also use newer resummation methods
based on hypergeometric/Meijer-G and confluent hypergeometric functions.

4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th