Baryon currents in the C-broken phase of QCD

TL;DR

This paper explores how in certain compactified spaces, QCD spontaneously breaks discrete symmetries like C, P, T, and CPT, leading to the generation of detectable baryon currents along compact dimensions.

Contribution

It demonstrates the physical consequences of discrete symmetry breaking in QCD, specifically the emergence of baryon currents in compactified spaces with periodic fermions.

Findings

Spontaneous C, P, T, and CPT breaking occurs in QCD with compact dimensions.

Baryon currents are generated along the compact dimensions due to symmetry breaking.

Local observables can detect the symmetry breaking through these baryon currents.

Abstract

In a space with some sufficiently small compact dimension (with non-trivial cycles) and with periodic boundary conditions for the fermions, the charge conjugation (C), spatial parity (P), time reversal (T) and CPT symmetries are spontaneously broken in QCD. We have investigated what are the physical consequences of the breaking of these discrete symmetries, that is what local observables can be used to detect it. We show that the breaking induces the generation of baryon currents, propagating along the compact dimensions.