Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-11-28
Phys.Rev. D73 (2006) 036001
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages, 7 figures; references added and discussions expanded
Scientific paper
10.1103/PhysRevD.73.036001
We study the chiral symmetry restoration using the generalized hidden local symmetry (GHLS) which incorporates the rho and A_1 mesons as the gauge bosons of the GHLS and the pion as the Nambu-Goldstone boson consistently with the chiral symmetry of QCD. We show that a set of parameter relations, which ensures the first and second Weinberg's sum rules, is invariant under the renormalization group evolution. Then, we found that the Weinberg's sum rules together with the matching of the vector and axial-vector current correlators inevitably leads to {\it the dropping masses of both rho and A_1 mesons} at the symmetry restoration point, and that the mass ratio as well as the mixing angle between the pion and A_1 meson flows into one of three fixed points.
Harada Masaaki
Sasaki Chihiro
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