Integer-Squared Laws for Global Vortices in the Born--Infeld Wave Equations

TL;DR

This paper establishes universal quantization identities for static vortex solutions in Born--Infeld wave equations, offering refined insights into divergent energies across different models.

Contribution

It introduces a set of universal quantization identities for vortex solutions in Born--Infeld actions, enhancing understanding of their energetic properties.

Findings

Quantization identities are established for vortex solutions.

Identities are universal and model-independent.

Refined descriptions of divergent energies are provided.

Abstract

A series of quantization identities are established for static vortex solutions governed by the Born--Infeld type actions. These identities are of a universal nature which are indifferent to the details of the models and provide refined descriptions of divergent energetic quantities.