The Linear Sigma-Model in the 1/N-Expansion via Dynamical Boson Mappings and Applications to $ππ$-Scattering

Details The Linear Sigma-Model in the 1/N-Expansion via Dynamical Boson Mappings and Applications to $ππ$-Scattering The Linear Sigma-Model in the 1/N-Expansion via Dynamical Boson Mappings and Applications to $ππ$-Scattering

1996-11-25

arxiv.org/abs/nucl-th/9611048v3

Nucl.Phys. A618 (1997) 402-426

Physics

Nuclear Physics

Nuclear Theory

28 pages, Latex, (with minor corrections to some misprints in the appendix of the old version)

Scientific paper

10.1016/S0375-9474(97)00047-X

We present a non-perturbative method for the study of the O(N+1)-version of the linear sigma-model. Using boson-mapping techniques, in close analogy to those well-known for fermionic systems, we obtain a systematic 1/N-expansion for the Hamiltonian which is symmetry-conserving order by order. The leading order for the Hamiltonian is evaluated explicitly and we apply the method to $\pi\pi$-scattering, in deriving the T-matrix to leading order.

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