String-localized covariant quantum fields

TL;DR

This paper constructs string-localized covariant free quantum fields for various Poincare group representations, including those incompatible with point-like localization, advancing quantum field theory's understanding of localization.

Contribution

It introduces a method to build string-localized covariant quantum fields for a broad class of Poincare group representations, including massless and infinite spin cases.

Findings

Successfully constructs string-localized fields for mass zero and infinite spin representations.

Demonstrates compatibility of string localization with certain irreducible representations.

Provides a framework for quantum fields beyond point-like localization constraints.

Abstract

We present a construction of string--localized covariant free quantum fields for a large class of irreducible (ray) representations of the Poincare group. Among these are the representations of mass zero and infinite spin, which are known to be incompatible with point-like localized fields. (Based on joint work with B.Schroer and J.Yngvason [13].)