Binary Dynamics from Worldline QFT for Scalar-QED

TL;DR

This paper develops a worldline quantum field theory approach for scalar-QED to compute the scattering angle of a binary electromagnetic system up to third order in the Post-Minkowskian expansion, introducing a novel generating function method.

Contribution

It introduces a new generating function within WQFT for scalar-QED that simplifies the calculation of scattering angles without exponentiating lower-order terms.

Findings

Derived the generating function for scalar-QED WQFT

Computed the scattering angle up to 3PM order

Demonstrated the method's efficiency in binary system analysis

Abstract

We investigate the worldline quantum field theory (WQFT) formalism for scalar-QED and observe that a generating function emerges from WQFT, from which the scattering angle ensues. This generating function bears important similarities with the radial action in that it requires no consideration of exponentiation of lower-order contributions. We demonstrate the computations of this generating function and the resulting scattering angle of a binary system coupled to electromagnetic field up to the third order in the Post-Minkowskian expansion (3PM).expansion (3PM).