Chiral Properties of Baryon Interpolating Fields
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We study the chiral transformation properties of all possible local (non-derivative) interpolating field operators for baryons consisting of three quarks with two flavors, assuming good isospin symmetry. We derive and use the relations/identities among the baryon operators with identical quantum numbers that follow from the combined color, Diracand isospin Fierz transformations. These relations reduce the number of independent baryon operators with any given spin and isospin. The Fierz identities also effectively restrict allowed baryon chiral multiplets. It turns out that the chiral multiplets of the baryons are equivalent to their Lorentz representation.
Keywords:Chiral symmetry / baryons / interpolating fields
Source:Modern Physics Letters A, 2008, 23, 27-30, 2381-2384
- International Workshop on Chiral Symmetry in Hadron and Nuclear Physics, Nov 13-16, 2007, Osaka Univ, Osaka, Japan