Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Perturbative Four-Point Scattering from First-Quantized Relativistic
  JWKB   We apply the quantum mechanical (first-quantized) JWKB approximation to a
two-body path integral describing the near-forward scattering of two
relativistic, heavy, non-identical, scalar particles in $D$ spacetime
dimensions. In contrast to the loop expansion, in $D = 4$ this gives a
strong-coupling expansion, and in $D = 3$ a non-perturbative weak-coupling
expansion. When the interaction is mediated by massless quanta with spin $N$,
we obtain explicit, relativistic results for the scattering amplitude when $N =
0$, $1$ and $2$. In $D = 4$ we find a Regge trajectory function that agrees
with the usual quantum mechanical spectrum. We also find an exponentiated
infrared divergence that becomes a pure phase factor when the Mandelstam
invariants $s$ and $t$ are inside of the physical scattering region. In $D = 3$
we find a singularity whose position along the $s$ axis is dependent on $t$.
When the interaction is mediated by a heavy scalar with mass $M$, in $D = 3$ we
find an all-order scattering amplitude where the multi-mass branch points $t =
(L + 1)^{2}M^{2}$ appear as Regge poles.

27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
18
The categories of this paper are: econ
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph