Please use this identifier to cite or link to this item: http://hdl.handle.net/10174/12120

Title: Chiral symmetry and pi-pi scattering in the covariant spectator theory
Authors: Biernat, Elmar P.
Peña, M. T.
Ribeiro, J. E.
Stadler, Alfred
Gross, Franz
Keywords: Chiral symmetry
Covariant spectator theory
Quark-antiquark bound states
Issue Date: Nov-2014
Publisher: American Physical Society
Citation: Elmar P. Biernat, M. T. Peña, J. E. Ribeiro, Alfred Stadler, and Franz Gross, Phys. Rev. D 90, 096008 (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 self-consistency zero for pi-pi scattering in the chiral limit emerges as the result for this sum.
URI: http://hdl.handle.net/10174/12120
Type: article
Appears in Collections:FIS - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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