Braided Structure in 4-dimensional conformal Quantum Field Theory

TL;DR

This paper explores the unique braided structure of 4-dimensional conformal quantum field theory, highlighting its restriction to the timelike region and its role in the spectrum of anomalous dimensions, differing from lower-dimensional models.

Contribution

It reveals the braided structure in 4D conformal QFT and its implications for anomalous dimensions, offering insights beyond traditional Euclidean methods.

Findings

Braided structure is restricted to the timelike region in 4D conformal QFT.

This structure influences the spectrum of anomalous dimensions.

It provides an alternative perspective to particle interpretation in interacting theories.

Abstract

Higher dimensional conformal QFT possesses an interesting braided structure which, different from the d=1+1 models, is restricted to the timelike region and therefore easily escapes euclidean action methods. It lies behind the spectrum of anomalous dimensions which may be viewed as a kind of substitute for a missing particle interpretation in the presence of interactions.