Double Counting Ambiguities in the Linear Sigma Model
A. Bramon, Riazuddin, M. D. Scadron
Abstract
We study the dynamical consequences imposed on effective chiral field theories such as the quark-level SU(2) linear σ model (LσM) 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 LσM 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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