Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-12-08
Phys.Rev. D57 (1998) 3962-3970
Physics
High Energy Physics
High Energy Physics - Phenomenology
26 pages, 11 figures (gzipped)
Scientific paper
10.1103/PhysRevD.57.3962
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 $R\equiv(m_\sigma/m_\pi)^2$ 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.
Delphenich David
Schechter Joseph
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