English

Implementing PCAC in Nonperturbative Models of Pion Production

Nuclear Theory 2011-04-15 v1

Abstract

Traditional few-body descriptions of pion production use integral equations to sum the strong interactions nonperturbatively. Although much physics is thereby included, there has not been a practical way of incorporating the constraints of chiral symmetry into such approaches. Thus the traditional few-body descriptions fail to reflect the underlying theory of strong interactions, QCD, which is largely chirally symmetric. In addition, the lack of chiral symmetry in the few-body approaches means that their predictions of pion production are in principle not consistent with the partial conservation of axial current (PCAC), a fact that has especially large consequences at low energies. We discuss how the recent introduction of the ``gauging of equations method'' can be used to include PCAC into traditional few-body descriptions and thereby solve this long standing problem

Keywords

Cite

@article{arxiv.nucl-th/9912075,
  title  = {Implementing PCAC in Nonperturbative Models of Pion Production},
  author = {B. Blankleider and A. N. Kvinikhidze},
  journal= {arXiv preprint arXiv:nucl-th/9912075},
  year   = {2011}
}

Comments

Contribution to Proceedings, 1st Asia-Pacific Conference on Few-Body Problems in Physics, Noda/Kashiwa, Japan, 23-28 August 1999, to be published by Springer-Verlag as "Few-Body Systems Supplement". 7 pages, revtex, epsf, 3 Postscript figures