Double Counting Ambiguities in the Linear Sigma Model

Details Double Counting Ambiguities in the Linear Sigma Model Double Counting Ambiguities in the Linear Sigma Model

1997-09-08

arxiv.org/abs/hep-ph/9709274v1

J.Phys.G24:1-12,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages To be published in Journal of Physics G

Scientific paper

10.1088/0954-3899/24/1/004

We study the dynamical consequences imposed on effective chiral field theories such as the quark-level SU(2) linear $\sigma$ model (L$\sigma$M) due to the fundamental constraints of massless Goldstone pions, the normalization of the pion decay constant and form factor, and the pion charge radius. We discuss quark-level double counting L$\sigma$M ambiguities in the context of the Salam-Weinberg $Z = 0$ compositeness condition. Then SU(3) extensions to the kaon are briefly considered.

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