The Confining String from the Soft Dilaton Theorem

TL;DR

This paper constructs a candidate confining string in gauge theories using a soft dilaton theorem, resulting in a conformally invariant string that naturally singles out four-dimensional spacetime.

Contribution

It introduces a novel approach to modeling the confining string via ultraviolet divergence representation with a dilaton insertion, emphasizing conformal invariance and dimensional specificity.

Findings

The constructed string is conformally invariant.

It naturally singles out four dimensions.

It cannot represent theories with Landau poles.

Abstract

A candidate for the confining string of gauge theories is constructed via a representation of the ultraviolet divergences of quantum field theory by a closed string dilaton insertion, computed through the soft dilaton theorem. The resulting (critical) confining string is conformally invariant, singles out naturally $d=4$ dimensions, and can not be used to represent theories with Landau poles.