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arXiv · hep-ph/9712282

Remark on the Potential Function of the Linear Sigma Model

David Delphenich·Joseph Schechter
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Abstract

It is shown that the potential functions for the ordinary linear sigma model can be divided into two topographically different types depending on whether the quantity $R\equiv(m_σ/m_π)^2$ is greater than or less than nine. Since the Wigner-Weyl mode (R=1) and the Nambu-Goldstone mode ($R=\infty$ belong to different regions, we speculate that this classification may provide a generalization to the broken symmetry situation, which could be convenient for roughly characterizing different possible applications of the model. It is noted that a more complicated potential does not so much change this picture as add different new regions.

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David Delphenich, Joseph Schechter. 1997-12-08. Remark on the Potential Function of the Linear Sigma Model. https://doi.org/10.1103/physrevd.57.3962

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