2006/10/31 by Zhi-Hui Guo, Li-Ye Xiao, L. Y. Xiao +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1142/s0217751x0703710x
published as Int.J.Mod.Phys.A22:4603-4616,2007 · 15 pages, 3 figurs; references added; discussions slightly modified; revised version accepted by IJMPA
arxiv created 2007/06/11 · openalex publication_date 2007/10/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
O(N) linear σ model is solvable in the large N limit and hence provides a useful theoretical laboratory to test various unitarization approximations. We find that the large N c limit and the m σ →∞ limit do not commute. In order to get the correct large N c spectrum one has to first take the large N c limit. We argue that the f 0 (600) meson may not be described as generated dynamically. On the contrary, it is most appropriately described at the same level as the pions, i.e. both appear explicitly in the effective Lagrangian. Actually it is very likely the σ meson responsible for the spontaneous chiral symmetry breaking in a Lagrangian with linearly realized chiral symmetry.