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Hidden local symmetry and effective chiral theory for vector and axial-vector meson
Li, B. A.; Wu, Y. L.; Li, BA , Univ Kentucky, Dept Phys, Lexington, KY 40506 USA
2007
发表期刊MODERN PHYSICS LETTERS A
ISSN0217-7323
卷号22期号:41100页码:683-698
摘要We present the effective chiral Lagrangian of mesons (peusodoscalars, vectors and axial-vectors) obtained in the chiral limit by using two approaches. The first approach is based on symmetries: the explicit global chiral symmetry and hidden local chiral symmetry. In this approach, it is noticed that there are in general fourteen interacting terms up to the dimension-four of covariant derivative for meson fields rather than the usual eleven interacting terms given in literature from hidden local symmetry approach. Of particular, the additional terms are found to be very important for understanding the vector meson dominance and providing consistent predictions on the decay rates of a(1)->gamma pi and a(1)->rho pi as well as for resulting a consistent effective chiral Lagrangian with chiral perturbation theory. The second approach is motivated from the chiral symmetry of chiral quarks and the bound state solutions of nonperturbative QCD at low energy and large N-c. The second approach is more fundamental in the sense that it is based on the QCD Lagrangian of quarks and only relies on two basic parameters in addition to the ones in the standard model. As a consequence, it allows us to extract, in terms of only two basic parameters, all the fourteen parameters in the more general effective Lagrangian constructed from symmetries in the first approach. It is surprising to note that except the necessity of three additional new interacting terms introduced in this paper, the resulting values of the coupling constants for other three interacting terms at the dimension-four are also quite different from the ones given in the literature. It is likely that the structures of the effective chiral Lagrangian for the dimension-four given in the literatures by using hidden local symmetry are incomplete and consequently the resulting coulpings are not reliable. It is shown that the more general effective chiral Lagrangian given in the present paper shall provide a more consistent prediction for all the low energy phenomenology of rho - a(1) system and result in a more consistent description on the low energy behavior of light flavor mesons. Its fourteen parameters up to the dimension-four of covariant derivative may be uniquely determined from the effective chiral theory based on the second approach, which is consistent with the chiral perturbation theory.
部门归属[Li, BA] Univ Kentucky, Dept Phys, Lexington, KY 40506 USA; [Wu, YL] Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
关键词Energy Hadron Physics Perturbation-theory Lagrangians Fields
学科领域Physics
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收录类别SCI
WOS记录号WOS:000251776500026
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被引频次:1[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/5772
专题理论物理所1978-2010年知识产出
通讯作者Li, BA , Univ Kentucky, Dept Phys, Lexington, KY 40506 USA
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Li, B. A.,Wu, Y. L.,Li, BA , Univ Kentucky, Dept Phys, Lexington, KY 40506 USA. Hidden local symmetry and effective chiral theory for vector and axial-vector meson[J]. MODERN PHYSICS LETTERS A,2007,22(41100):683-698.
APA Li, B. A.,Wu, Y. L.,&Li, BA , Univ Kentucky, Dept Phys, Lexington, KY 40506 USA.(2007).Hidden local symmetry and effective chiral theory for vector and axial-vector meson.MODERN PHYSICS LETTERS A,22(41100),683-698.
MLA Li, B. A.,et al."Hidden local symmetry and effective chiral theory for vector and axial-vector meson".MODERN PHYSICS LETTERS A 22.41100(2007):683-698.
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