The topological long range order in QCD. Applications to heavy ion collisions and cosmology

TL;DR

This paper proposes that long-range topological order in strongly coupled QCD explains local P violation in heavy ion collisions and may influence cosmological phenomena like de Sitter expansion, with the inflaton emerging as an auxiliary topological field.

Contribution

It introduces the concept that topological long-range order in QCD can account for observed phenomena in heavy ion collisions and cosmology, offering a novel perspective on the inflaton as a topological auxiliary field.

Findings

Long-range topological order causes local P violation in heavy ion collisions.

Such topological order may lead to dynamical de Sitter behavior in cosmology.

The inflaton can be interpreted as an auxiliary field related to topological sectors.

Abstract

We argue that the local violation of P invariance in heavy ion collisions is a consequence of the long range topological order which is inherent feature of strongly coupled QCD. A similar phenomenon is known to occur in some topologically ordered condensed matter systems with a gap. We also discuss possible cosmological applications of this long range order in strongly coupled gauge theories. In particular, we argue that the de Sitter behaviour might be dynamically generated as a result of the long range order. In this framework the inflaton is an auxiliary field which effectively describes the dynamics of topological sectors in a gauge theory in the expanding universe, rather than a new dynamical degree of freedom.