Study on the covariant chiral effective field theory of vector meson

WANG Yan; YANG Jifeng

doi:10.3969/j.issn.1000-5641.201922007

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

Citation:

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

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Study on the covariant chiral effective field theory of vector meson

doi: 10.3969/j.issn.1000-5641.201922007

WANG Yan,
YANG Jifeng^,

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

Received Date: 2019-03-22
Available Online: 2019-12-28
Publish Date: 2020-01-01

Abstract

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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References(12)

References

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