6533b86cfe1ef96bd12c88f7
RESEARCH PRODUCT
Chiral symmetry andπ-πscattering in the covariant spectator theory
Franz GrossElmar P. BiernatJ. E. RibeiroM. T. PeñaAlfred Stadlersubject
Ward–Takahashi identityPhysicsNuclear and High Energy PhysicsChiral symmetryBethe–Salpeter equation010308 nuclear & particles physicsScatteringHigh Energy Physics::LatticeNuclear TheoryHigh Energy Physics::PhenomenologyPosition and momentum space01 natural sciencesScattering amplitudeQuantum mechanics0103 physical sciencesMinkowski spaceCovariant transformation010306 general physicsdescription
The π-π 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, similarly to what happens within the Bethe-Salpeter formalism, application of the axial-vector Ward Takahashi identity to the CST π-π scattering amplitude allows us to sum the intermediate quark-quark interactions to all orders. Thus, the Adler self-consistency zero for π-π scattering in the chiral limit emerges as the result for this sum.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-11-14 | Physical Review D |