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arXiv · hep-ph/9406244

Constraints on Four-Point Couplings in Low-Energy Meson Interactions

D. Kalafatis·M. C. Birse
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Abstract

We investigate from first principles the introduction of isospin-1 vector and axial-vector fields into the nonlinear sigma model. Chiral symmetry is nonlinearly realised and spin-1 fields are assumed to transform homogeneously under chiral rotations. By requiring the Hamiltonian of the theory to be bounded from below we find inequalities relating three- and four-point meson couplings. This leads to a low-energy phenomenological Lagrangian for the nonanomalous sector of $πρa_1$ strong interactions.

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D. Kalafatis, M. C. Birse. 1994-06-07. Constraints on Four-Point Couplings in Low-Energy Meson Interactions. https://doi.org/10.1016/0375-9474(94)00487-8

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