Probability Amplitudes for Charge-Monopole Scattering

TL;DR

This paper quantizes a non-local Lagrangian for classical dual electrodynamics to construct probability amplitudes for charge-monopole scattering, aligning with previous results but avoiding string singularities.

Contribution

It introduces a quantization method for a non-local Lagrangian in dual electrodynamics, enabling probability amplitude calculations without string singularities.

Findings

Results agree with Schwinger and Zwanzinger formulations

Constructs probability amplitudes without strings

Validates the non-local Lagrangian approach

Abstract

In this letter we quantize a previously proposed non-local lagrangean for the classical dual electrodynamics (Phys.Lett.B 384(1996)197), showing how it can be used to construct probability amplitudes. Our results are shown to agree with those obtained in the context of Schwinger and Zwanzinger formulations, but without necessity of introducing strings.