Chiral Properties of Baryon Fields with Flavor SU(3) Symmetry

Understand

We investigate chiral properties of local (non-derivative) fields of baryons consisting of three quarks with flavor SU(3) symmetry.

• We construct explicitly independent local three-quark fields belonging to definite Lorentz and flavor representations.
• Chiral symmetry is spontaneously broken and therefore the baryon fields can have different chiral representations.
• It turns out that the allowed chiral representations are strongly correlated with the Lorentz group representations due to the color and spatial structure of the local three-quark fields.