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

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

1994-06-07

arxiv.org/abs/hep-ph/9406244v1

Nucl.Phys. A584 (1995) 589-603

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, plain TeX, MC/TH 94/10

Scientific paper

10.1016/0375-9474(94)00487-8

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 $\pi\rho a_1$ strong interactions.

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