Twist decomposition of nonlocal light-ray operators and harmonic tensor functions

TL;DR

This paper presents a systematic method for decomposing nonlocal light-cone operators into harmonic operators of definite twist, introducing harmonic tensor polynomials up to rank 2, with an example on symmetric rank-2 tensors.

Contribution

It provides a unique decomposition procedure for nonlocal light-ray operators into harmonic operators of fixed twist, expanding the mathematical tools for analyzing such operators.

Findings

Decomposition procedure for nonlocal light-cone operators into harmonic operators.

Introduction of harmonic tensor polynomials up to rank 2.

Application example on symmetric tensor operators of rank 2.

Abstract

For arbitrary spacetime dimension a systematic procedure is carried on to uniquely decompose nonlocal light-cone operators into harmonic operators of well defined twist. Thereby, harmonic tensor polynomials up to rank 2 are introduced. Symmetric tensor operators of rank 2 are considered as an example.