dorsal/arxiv
View SchemaThe Linear Sigma-Model in the 1/N-Expansion via Dynamical Boson Mappings and Applications to $\pi\pi$-Scattering
| Authors | Z. Aouissat, P. Schuck, J. Wambach |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9611048 |
| URL | https://arxiv.org/abs/nucl-th/9611048 |
| DOI | 10.1016/S0375-9474(97)00047-X |
| Journal | Nucl.Phys. A618 (1997) 402-426 |
Abstract
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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"abstract": "We present a non-perturbative method for the study of the O(N+1)-version of\nthe linear sigma-model. Using boson-mapping techniques, in close analogy to\nthose well-known for fermionic systems, we obtain a systematic 1/N-expansion\nfor the Hamiltonian which is symmetry-conserving order by order. The leading\norder for the Hamiltonian is evaluated explicitly and we apply the method to\n$\\pi\\pi$-scattering, in deriving the T-matrix to leading order.",
"arxiv_id": "nucl-th/9611048",
"authors": [
"Z. Aouissat",
"P. Schuck",
"J. Wambach"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(97)00047-X",
"journal_ref": "Nucl.Phys. A618 (1997) 402-426",
"title": "The Linear Sigma-Model in the 1/N-Expansion via Dynamical Boson Mappings and Applications to $\\pi\\pi$-Scattering",
"url": "https://arxiv.org/abs/nucl-th/9611048"
},
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