6533b824fe1ef96bd127fff8
RESEARCH PRODUCT
Chiral symmetry and pi-pi scattering in the Covariant Spectator Theory
Elmar P. BiernatM. T. PeñaJ. E. RibeiroAlfred StadlerFranz Grosssubject
Chiral symmetryNuclear Theory (nucl-th)High Energy Physics - PhenomenologyCovariant spectator theoryHigh Energy Physics - Phenomenology (hep-ph)Nuclear TheoryHigh Energy Physics::LatticeNuclear TheoryHigh Energy Physics::PhenomenologyQuark-antiquark bound statesFOS: Physical sciencesdescription
The pi-pi scattering amplitude calculated with a model for the quark-antiquark interaction in the framework of the Covariant Spectator Theory (CST) is shown to satisfy the Adler zero constraint imposed by chiral symmetry. The CST formalism is established in Minkowski space and our calculations are performed in momentum space. We prove that the axial-vector Ward-Takahashi identity is satisfied by our model. Then we show that, similar to what happens within the Bethe-Salpeter formalism, application of the axial-vector Ward-Takahashi identity to the CST pi-pi scattering amplitude allows us to sum the intermediate quark-quark interactions to all orders. The Adler self-consistency zero for pi-pi scattering in the chiral limit emerges as the result for this sum.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-08-07 |