Double Counting Ambiguities in the Linear Sigma Model
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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.