Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering from production in 2d   In 1968, Atkinson proved the existence of functions that satisfy all S-matrix
axioms in four spacetime dimensions. His proof is constructive and to our
knowledge it is the only result of this type. Remarkably, the methods to
construct such functions used in the proof were never implemented in practice.
In the present paper, we test the applicability of those methods in the simpler
setting of two-dimensional S-matrices. We solve the problem of reconstructing
the scattering amplitude starting from a given particle production probability.
We do this by implementing two numerical iterative schemes (fixed-point
iteration and Newton's method), which, by iterating unitarity and dispersion
relations, converge to solutions to the S-matrix axioms. We characterize the
region in the amplitude-space in which our algorithms converge, and discover a
fractal structure connected to the so-called CDD ambiguities which we call "CDD
fractal". To our surprise, the question of convergence naturally connects to
the recent study of the coupling maximization in the two-dimensional S-matrix
bootstrap. The methods exposed here pave the way for applications to higher
dimensions, and expose some of the potential challenges that will have to be
overcome.

30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph