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Renormalization group equations in a model of generalized hidden local symmetry and restoration of chiral symmetry
High Energy Physics - Phenomenology · Submitted 30 Dec 2005
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It turns out that the rho and A_1 meson become massless and their decay into pion is suppressed in all the restoration patterns.
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The abstract, sentence by sentence
We study possible restoration patterns of chiral symmetry in a generalized hidden local symmetry model, which is a low energy effective theory of QCD including pseudo-scalar, vector and axial-vector mesons. We derive Wilsonian renormalization group equations and analyze the running couplings and their fixed points at the chiral restoration point. We find three types of the chiral restoration, which are classified as the standard, vector manifestation and intermediate scenarios, respectively. It turns out that the rho and A_1 meson become massless and their decay into pion is suppressed in all the restoration patterns. The each restoration scenario violates or fulfills the vector meson dominance at the critical point in a different manner, which may reflect on the contributions from the pion to the dilepton spectrum.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study possible restoration patterns of chiral symmetry in a generalized hidden local symmetry model, which is a low energy effective theory of QCD including pseudo-scalar, vector and axial-vector mesons. | contribution 0.69 | 0.74 | 0.04 | asserted 0.51 |
| s1 | We derive Wilsonian renormalization group equations and analyze the running couplings and their fixed points at the chiral restoration point. | method 0.90 | 0.97 | 0.05 | asserted 0.99 |
| s2 | We find three types of the chiral restoration, which are classified as the standard, vector manifestation and intermediate scenarios, respectively. | result 1.00 | 0.96 | 0.40 | asserted 1.00 |
| s3 | It turns out that the rho and A_1 meson become massless and their decay into pion is suppressed in all the restoration patterns. | result 1.00 | 0.93 | 0.35 | asserted 1.00 |
| s4 | The each restoration scenario violates or fulfills the vector meson dominance at the critical point in a different manner, which may reflect on the contributions from the pion to the dilepton spectrum. | interpretation 0.88 | 0.78 | 0.16 | hedged possibility 0.79 |
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Original abstract
We study possible restoration patterns of chiral symmetry in a generalized hidden local symmetry model, which is a low energy effective theory of QCD including pseudo-scalar, vector and axial-vector mesons. We derive Wilsonian renormalization group equations and analyze the running couplings and their fixed points at the chiral restoration point. We find three types of the chiral restoration, which are classified as the standard, vector manifestation and intermediate scenarios, respectively. It turns out that the rho and A_1 meson become massless and their decay into pion is suppressed in all the restoration patterns. The each restoration scenario violates or fulfills the vector meson dominance at the critical point in a different manner, which may reflect on the contributions from the pion to the dilepton spectrum.
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States the same result 1 paper
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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.
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