Journal of East China Normal University(Natural Science) >

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

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

Physics and Electronics

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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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

Cite this article

WANG Yan , YANG Jifeng . Study on the covariant chiral effective field theory of vector meson[J]. Journal of East China Normal University(Natural Science), 2020 , 2020(1) : 67 -75 . DOI: 10.3969/j.issn.1000-5641.201922007

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