Gauge interaction of baryons in hidden local symmetry

Furui, Shin-ya; Kobayashi, Reido; Nakagawa, Masami

doi:10.1007/bf02816745

Cited by 7 publications

(6 citation statements)

References 4 publications

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“…The value of λ will be estimated in section 4. Since the variable κ can not be large [9] or could be zero [16], we will ignore the diagrams in Fig. 1 which are proportional to κ 1 throughout this work.…”

Section: The Model Lagrangianmentioning

confidence: 99%

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Renormalization group analysis ofρ-meson properties at finite density

Kim

Lee

2000

Phys. Rev. C

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We calculate the density dependence of the ρ-meson mass and coupling constant(g ρN N ) for ρ-nucleon-nucleon vertex at one loop using the lagrangian where the ρ-meson is included as a dynamical gauge boson of a hidden local symmetry. From the condition that thermodynamic potential should not depend on the arbitrary energy scale, renormalization scale, one can construct a renormalization group equation for the thermodynamic potential and argue that the various renormalization group coefficients are functions of the density or temperature. We calculate the β-function for ρ-nucleon-nucleon coupling constant (g ρN N ) and γ-function for ρ-meson mass (γ mρ ). We found that the ρ-meson mass and the coupling constant for g ρN N drop as density increases in the low energy limit.

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Section: The Model Lagrangianmentioning

confidence: 99%

“…and κ and λ are two arbitrary constants. Bando et al [9] and Furui et al [16] pointed out that κ cannot be appreciably large to guarantee vector meson dominance and ρ meson universality. The value of λ will be estimated in section 4.…”

Section: The Model Lagrangianmentioning

confidence: 99%

Renormalization group analysis ofρ-meson properties at finite density

Kim

Lee

2000

Phys. Rev. C

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“…There are two remaining independent nonderivative vector meson symmetry breaking combinations among the α i terms corresponding to mass and ρφφ coupling constant splittings. Previous fits [7,8,9,10] of vector meson properties have only included a single linear combination of these. The new term noticeably improves the overall fit.…”

Section: Now Let Us Add the Vectorsmentioning

confidence: 99%

“…Very recent treatments include refs. [7,8,9,10]; our treatment will follow most closely the approach and notation of the first of these. There are several new features.…”

Section: Introductionmentioning

confidence: 99%

Effects of symmetry breaking on the strong and electroweak interactions of the vector nonet

Harada

Schechter

1996

Phys. Rev. D

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Starting from a chiral invariant and quark line rule conserving Lagrangian of pseudoscalar and vector nonets we introduce first and second order symmetry breaking as well as quark line rule violating terms and fit the parameters, at tree level, to many strong and electroweak processes. A number of predictions are made. The electroweak interactions are included in a manifestly gauge invariant manner. The resulting symmetry breaking pattern is discussed in detail. Specifically, for the "strong" interactions, we study all the vector meson masses and V → φφ decays, including isotopic spin violations. In the electroweak sector we study the {ρ 0 , ω, φ} → e + e − decays, {π + , K + , K 0 } "charge radii", K l3 "slope factor" and the overall e + e − → π + π − process. It is hoped that the resulting model may be useful as a reasonable description of low energy physics in the range up to about 1

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“…In this work, we focus on the first one, i.e., the HLS approach. In this approach [43], an artificial local symmetry is introduced into the nonlinear sigma model by the choice of field variables. The vector mesons are then introduced as gauge bosons for this symmetry.…”

Section: Introductionmentioning

confidence: 99%

The $Z_{cs}$ states and the mixture of hadronic molecule and diquark-anti-diquark components within effective field theory

Cao,

He,

Sun

2022

Preprint

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Gauge interaction of baryons in hidden local symmetry

Cited by 7 publications

References 4 publications

Renormalization group analysis ofρ-meson properties at finite density

Renormalization group analysis ofρ-meson properties at finite density

Effects of symmetry breaking on the strong and electroweak interactions of the vector nonet

The $Z_{cs}$ states and the mixture of hadronic molecule and diquark-anti-diquark components within effective field theory

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