Probing topological order of QCD at Electron Ion Collider

TL;DR

This paper discusses the potential of the Electron Ion Collider to investigate the topological order in cold nuclear matter, which influences gluon distributions and related phenomena.

Contribution

It proposes that the Electron Ion Collider can effectively probe the topological order in cold nuclear matter through its impact on gluon distributions.

Findings

Topological order affects gluon distribution functions at low x.

Electron Ion Collider is suitable for studying topological phenomena in nuclear matter.

Topological effects are linked to the gluon propagator at finite topological charge.

Abstract

The idea that the nuclear matter may posses long range topological order is supported by the theory and the lattice calculations. At high temperature this order is instrumental in producing anomalous phenomena such as the Chiral Magnetic Effect. In the cold nuclear matter it affects the gluon distribution in the nuclear wave function at low $x$. The effect of the topological order is encapsulated in the unintegrated gluon distribution functions which are proportional, at the leading order, to the square of the gluon propagator at finite topological charge density. It is argued that the Electron Ion Collider is well suited to study the topological order of the cold nuclear matter.