Baryon parity doublets and chiralspin symmetry

TL;DR

This paper demonstrates that the baryon parity-doublet model is invariant under chiralspin symmetry and proposes lattice interpolators to study these symmetries at high temperatures in QCD.

Contribution

It shows the chiralspin invariance of the baryon parity-doublet Lagrangian and constructs specific nucleon interpolators for lattice QCD studies.

Findings

Baryon parity-doublet model is chiralspin-invariant.

Constructed nucleon interpolators with fixed chiralspin properties.

Supports the study of chiralspin symmetry emergence in high-temperature QCD.

Abstract

The chirally symmetric baryon parity-doublet model can be used as an effective description of the baryon-like objects in the chirally symmetric phase of QCD. Recently it has been found that above the critical temperature higher chiralspin symmetries emerge in QCD. It is demonstrated here that the baryon parity-doublet Lagrangian is manifestly chiralspin-invariant. We construct nucleon interpolators with fixed chiralspin transformation properties that can be used in lattice studies at high T.