Relations between the Worldline Quantum Field Theory and scattering amplitudes for particles with spin

TL;DR

This paper explores the connection between Worldline Quantum Field Theory and traditional scattering amplitudes for spinning particles, highlighting its classical and quantum capabilities in gravitational physics.

Contribution

It extends the WQFT framework to include particle spin and demonstrates its ability to incorporate quantum effects through infinite worldline loops.

Findings

WQFT can describe particles with spin in scattering processes.

The classical limit of WQFT is clearly identifiable.

Quantum contributions are captured by summing infinite worldline loops.

Abstract

The Worldline Quantum Field Theory (WQFT) has proven to be an efficient tool for calculating observables in gravitational wave physics. In contrast to other QFT-based techniques in the realm of gravitational wave physics, it makes the classical limit very apparent. However, a natural question remains: How does it relate to ordinary quantum field theories that we know from particle physics? This question will be addressed by extending existing approaches to a description including spin. Furthermore, it will be explicitly shown that the WQFT can retain quantum contributions by summing up infinite towers of worldline loops.