Baryon tri-local interpolating fields

We systematically investigate tri-local (non-local) three-quark baryon fields with U-L(2) x U-R(2) chiral symmetry, according to their Lorentz and isospin (flavor) group representations. We note that they can also be called nucleon wave functions due to this full non-locality. We study their chiral transformation properties and find all the possible chiral multiplets consisting of J = 1/2 and J = 3/2 baryon fields. We find that the axial coupling constant vertical bar gA vertical bar = 5/3 is only for nucleon fields belonging to the chiral representation (1/2, 1) circle plus (1, 1/2), which contains both nucleon and Delta fields. Moreover, all the nucleon fields belonging to this representation have vertical bar g(A)vertical bar = 5/3.