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Title: Chiral symmetry and π-π scattering in the Covariant Spectator Theory

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.
Authors:
 [1] ;  [1] ;  [1] ;  [2] ;  [3]
  1. Univ. de Lisboa, Lisboa (Portugal)
  2. Univ. de Lisboa, Lisboa (Portugal); Univ. de Evora, Evora (Portugal)
  3. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
OSTI Identifier:
1163888
Report Number(s):
JLAB-THY--14-1933; arXiv:1408.1625; DOE/OR/23177--3151
Journal ID: ISSN 1550-7998; PRVDAQ; ArticleNumber: 096008; TRN: US1600833
Grant/Contract Number:
AC05-06OR23177; PTDC/FIS/113940/2009; CFTP-FCT; 283286
Type:
Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 90; Journal Issue: 9; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Research Org:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS