String-localized quantum fields from Wigner representations

TL;DR

This paper constructs string-localized quantum fields for Wigner representations with mass zero and infinite spin, overcoming limitations of pointlike localization and opening new avenues outside traditional Lagrangian methods.

Contribution

It introduces a novel construction of quantum fields localized in semi-infinite strings for specific Wigner representations, expanding the framework beyond Lagrangian quantization.

Findings

Fields are localized in semi-infinite spacelike strings

Construction applies to mass zero, infinite spin Wigner representations

Potential for broader applications outside traditional quantization

Abstract

In contrast to the usual representations of of the Poincar\'e group of finite spin or helicity the Wigner representations of mass zero and infinite spin are known to be incompatible with pointlike localized quantum fields. We present here a construction of quantum fields associated with these representations that are localized in semi-infinite, space-like strings. The construction is based on concepts outside the realm of Lagrangian quantization with the potential for further applications.