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arXiv · hep-ph/9709274

Double Counting Ambiguities in the Linear Sigma Model

A. Bramon·Riazuddin·M. D. Scadron
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Abstract

We study the dynamical consequences imposed on effective chiral field theories such as the quark-level SU(2) linear $σ$ model (L$σ$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$σ$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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A. Bramon, Riazuddin, M. D. Scadron. 1997-09-08. Double Counting Ambiguities in the Linear Sigma Model. https://doi.org/10.1088/0954-3899%2F24%2F1%2F004

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