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A Non-Perturbative Treatment of the Pion in the Linear Sigma-Model

arXiv:nucl-th/9604023 · doi:10.1016/0375-9474(96)80011-F

Abstract

Using a non-perturbative method based on the selfconsistent Quasi-particle Random-Phase Approximation (QRPA) we describe the properties of the pion in the linear $σ$-model. It is found that the pion is massless in the chiral limit, both at zero- and finite temperature, in accordance with Goldstone's theorem.

To appear in Nucl.Phys. A, 16 pages, 2 Postscript figures