Chiral forms and three-flavor operators for staggered baryons

TL;DR

This paper discusses the complexities introduced by taste violations in staggered QCD baryons and explores operators with good SU(3) quantum numbers to simplify analysis, based on insights from staggered chiral perturbation theory.

Contribution

It reviews the development of staggered chiral forms and operators with good SU(3) quantum numbers to address baryon mixing and splitting issues in staggered QCD.

Findings

Operators with good SU(3) quantum numbers can reduce mixing complexities.

Staggered chiral perturbation theory provides insights into baryon splittings.

Current status of form and operator development is summarized.

Abstract

In staggered QCD, many staggered baryons correspond to each physical state. Taste violations lift the continuum degeneracies of the baryons and introduce nonzero off-diagonal elements in the mass matrix. While presenting no problem of principle, these splittings and mixings complicate analyses of simulation results. However, in special cases operators with good SU(3) quantum numbers can be used to circumvent the splittings and mixings. I review what has been learned from staggered chiral perturbation theory, outline a program of attack for the amenable cases, and summarize the present status of work on the staggered chiral forms and operators with good SU(3)xGTS quantum numbers.