"Isochronic" dynamical systems and nullification of amplitudes

TL;DR

This paper identifies a class of theories where tree-level amplitudes vanish due to underlying isochronic classical dynamics, revealing a novel link between classical properties and quantum amplitude nullification.

Contribution

It introduces a new class of theories with nullified tree-level amplitudes based on isochronic dynamical systems, connecting classical and quantum properties.

Findings

Tree-level amplitudes nullify in these theories.

The classical dynamics are characterized as isochronic.

The phenomenon occurs even with identical initial and final particles.

Abstract

We construct the set of theories which share the property that the tree-level amplitudes nullify even if both initial and final states contain the same type of particles. The origin of this phenomenon lies in the fact that the reduced classical dynamics describes isochronic systems.