1997/12/08 by D. H. Delphenich, David Delphenich, Joseph Schechter +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.57.3962
published as Phys.Rev. D57 (1998) 3962-3970 · 26 pages, 11 figures (gzipped)
arxiv created 1997/12/08 · openalex publication_date 1998/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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\ensuremath≡(m_\ensuremathσ/m_\ensuremathπ)2 is greater than or less than nine. Since the Wigner-Weyl mode (R=1) and the Nambu-Goldstone mode (R=\ensuremath∞) 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.