Asymptotic Charges at Null Infinity in Any Dimension

TL;DR

This paper investigates the conservation laws linked to large gauge transformations of massless fields in Minkowski space across various dimensions, emphasizing boundary conditions and charge finiteness in both linear and non-linear theories.

Contribution

It provides a comprehensive analysis of asymptotic charges and boundary conditions for massless fields in any dimension, extending previous work to include non-linear Yang-Mills and gravity.

Findings

Conservation laws depend on boundary conditions and dimensionality.

Extended analysis to non-linear Yang-Mills and linearized gravity.

Clarified infrared behavior of massless bosonic quanta.

Abstract

We analyse the conservation laws associated with large gauge transformations of massless fields in Minkowski space. Our aim is to highlight the interplay between boundary conditions and finiteness of the asymptotically conserved charges in any space-time dimension, both even and odd, greater than or equal to three. After discussing non-linear Yang-Mills theory and revisiting linearised gravity, our investigation extends to cover the infrared behaviour of bosonic massless quanta of any spin.