矢量介子协变手征有效场理论研究

王彦; 杨继锋

doi:10.3969/j.issn.1000-5641.201922007

矢量介子协变手征有效场理论研究

doi: 10.3969/j.issn.1000-5641.201922007

王彦,
杨继锋^,

华东师范大学物理与电子科学学院, 上海　200241

基金项目: 国家自然科学基金(11435005)

详细信息

通讯作者:
杨继锋, 男, 副教授, 硕士生导师, 研究方向为粒子物理与场论. E-mail: jfyang@phy.ecnu.edu.cn

中图分类号: O413.3
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出版历程
- 收稿日期: 2019-03-22
- 网络出版日期: 2019-12-28
- 刊出日期: 2020-01-01

Study on the covariant chiral effective field theory of vector meson

WANG Yan,
YANG Jifeng^,

School of Physics and Electronic Science, East China Normal University, Shanghai　200241, China

摘要

摘要: 在协变形式的手征有效场论中，分析探索了涉及自旋为 1 的矢量场的圈图计算中保持手征幂次规则的减除方案. 着重研究了的含矢量介子内线的Goldstone标量玻色子自能一圈图计算, 在矢量场的两种表示下进行了计算分析并得到了一致的结果. 计算表明，文献中建议的EOMS^[1](Extended On-Mass Shell)可以消除破坏手征幂次规则的贡献；细致分析后发现, 破坏手征幂次规则的项都是定域的. 由此提出了更简洁的扩展的$\overline {{\rm{MS}}} $(Extended $\overline {{\rm{MS}}} $, ${\rm{E}}\;\overline {{\rm{MS}}} $)方案, 并进一步用顶角图计算做了检验. 与EOMS相比, 该方案仅仅消除破坏手征幂次规则的定域项, 对非定域的手征贡献不需做任何修改. 这意味着该方案下手征微扰计算的收敛性会更好, 更适合作为研究重强子手征有效场理论的方案.
- 协变手征微扰理论 /
- 矢量介子 /
- 手征幂次规则 /
- EOMS /
- 扩展的$\overline {{\rm{MS}}} $
Abstract: In this paper, we employ covariant chiral effective field theory to explore the prescriptions in the loops involving spin 1 vector fields. The self-energy diagram for a Goldstone boson containing a vector meson line is studied, and consistent results are obtained in two representations of the vector field. Our calculation shows that the EOMS^[1](Extended On-Mass Shell) proposed indeed removes the terms that violate chiral power counting. Closer examination, however, shows that the problematic sources are actually localized; thus, we propose a simpler ${\rm{E}}\;\overline {{\rm{MS}}} $ (extended $\overline {{\rm{MS}}} $) cheme, which is further validated using a vertex diagram. Compared to EOMS, this scheme eliminates the localized terms that violate chiral power counting without additional manipulation or modification of the non-local terms. This feature would bring about better convergence of the chiral expansion and is more suitable for studying heavy hadrons with chiral effective theory.
- covariant chiral perturbation theory /
- vector meson /
- chiral power counting rules /
- extended on-mass shell(EOMS) /
- extended $\overline {{\rm{MS}}} $

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图 1 自能图; 实线代表重矢量介子，虚线代表Goldstone玻色子

Fig. 1 Self-energy graph; solid and dashed lines denote vector mesons and Goldstone bosons, respectively

下载: 全尺寸图片幻灯片

图 2 顶角图; 实线、虚线和波浪线分别代表矢量介子、Goldstone玻色子和外源

Fig. 2 Triangle graph; solid, dashed, and wiggly lines denote vector mesons, Goldstone bosons, and external sources, respectively

下载: 全尺寸图片幻灯片

参考文献(12)

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