Baryon Tri-local Interpolating Fields

TL;DR

This paper systematically classifies tri-local three-quark baryon fields with chiral symmetry, analyzing their transformation properties and identifying conditions for specific axial coupling constants.

Contribution

It provides a comprehensive classification of tri-local baryon fields under chiral symmetry and links their representations to axial coupling constants.

Findings

Identifies all possible chiral multiplets for J=1/2 and J=3/2 baryons.

Finds that |g_A|=5/3 occurs only for nucleon fields in a specific chiral representation.

Shows that nucleon fields in the (1/2,1)+(1,1/2) representation have |g_A|=5/3.

Abstract

We systematically investigate tri-local (non-local) three-quark baryon fields with U_L(2)*U_R(2) chiral symmetry, according to their Lorentz and isospin (flavor) group representations. We note that they can also be called as "nucleon wave functions" due to this full non-locality. We study their chiral transformation properties and find all the possible chiral multiplets consisting J=1/2 and J=3/2 baryon fields. We find that the axial coupling constant |g_A| = 5/3 is only for nucleon fields belonging to the chiral representation (1/2,1)+(1,1/2) which contains both nucleon fields and Delta fields. Moreover, all the nucleon fields belonging to this representation have |g_A| = 5/3.