华东师范大学学报（自然科学版） >

2020 , Vol. 2020 >Issue 1: 67 - 75

DOI: https://doi.org/10.3969/j.issn.1000-5641.201922007

物理学与电子学

矢量介子协变手征有效场理论研究

  • 王彦 ,
  • 杨继锋
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  • 华东师范大学 物理与电子科学学院, 上海 200241

收稿日期: 2019-03-22

  网络出版日期: 2020-01-13

基金资助

国家自然科学基金（11435005）

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Study on the covariant chiral effective field theory of vector meson

  • WANG Yan ,
  • YANG Jifeng
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  • School of Physics and Electronic Science, East China Normal University, Shanghai 200241, China

Received date: 2019-03-22

  Online published: 2020-01-13

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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MS（Extended MS，EMS）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.

关键词： 协变手征微扰理论; 矢量介子; 手征幂次规则; EOMS; 扩展的MS

本文引用格式

王彦 , 杨继锋 . 矢量介子协变手征有效场理论研究[J]. 华东师范大学学报（自然科学版）, 2020 , 2020(1) : 67 -75 . DOI: 10.3969/j.issn.1000-5641.201922007

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 EMS (extended 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.

Key words： covariant chiral perturbation theory; vector meson; chiral power counting rules; extended on-mass shell(EOMS); extended MS

参考文献

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