Remarks on the static dipole-dipole potential at large distances

TL;DR

This paper analyzes the large-distance behavior of static dipole-dipole potentials in gauge theories, confirming known results in QCD and comparing predictions with lattice data for pure-gauge theories.

Contribution

It provides a nonperturbative derivation of the large-distance dipole-dipole potential and compares theoretical predictions with existing lattice results.

Findings

Confirmed known small dipole size results in QCD

Predicted large-distance behavior of dipole potentials

Compared predictions with lattice simulations

Abstract

We determine the large-distance behaviour of the static dipole-dipole potential for a wide class of gauge theories on nonperturbative grounds, exploiting only general properties of the theory. In the case of QCD, we recover the known results in the regime of small dipole sizes, and discuss recent nonperturbative calculations. Moreover, we discuss the case of pure-gauge theories, and compare our prediction with the available lattice results.