publication . Preprint . 2014

Chiral symmetry and pi-pi scattering in the Covariant Spectator Theory

Biernat, Elmar P.; Peña, M. T.; Ribeiro, J. E.; Stadler, Alfred; Gross, Franz;
Open Access English
  • Published: 07 Aug 2014
Abstract
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 se...
Subjects
arXiv: High Energy Physics::PhenomenologyHigh Energy Physics::Lattice
free text keywords: High Energy Physics - Phenomenology, Nuclear Theory
Funded by
FCT| PTDC/FIS/113940/2009
Project
PTDC/FIS/113940/2009
Hadron structure with relativistic models
  • Funder: Fundação para a Ciência e a Tecnologia, I.P. (FCT)
  • Project Code: 113940
  • Funding stream: 3599-PPCDT
,
EC| HADRONPHYSICS3
Project
HADRONPHYSICS3
Study of Strongly Interacting Matter
  • Funder: European Commission (EC)
  • Project Code: 283286
  • Funding stream: FP7 | SP4 | INFRA
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