Scattering from production in 2d

Understand

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.