Is the f_{0}(600) Meson a Dynamically Generated Resonance? — a Lesson Learned from the O(n) Model and Beyond
Abstract
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.
 Publication:

International Journal of Modern Physics A
 Pub Date:
 2007
 DOI:
 10.1142/S0217751X0703710X
 arXiv:
 arXiv:hepph/0610434
 Bibcode:
 2007IJMPA..22.4603X
 Keywords:

 Sigma model;
 chiral symmetry;
 High Energy Physics  Phenomenology
 EPrint:
 15 pages, 3 figurs