Holographic QCD integrated back to hidden local symmetry

Harada, Masayasu; Matsuzaki, Shinya; Yamawaki, Koichi

doi:10.1103/physrevd.82.076010

Cited by 24 publications

(50 citation statements)

References 56 publications

(150 reference statements)

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“…(31) in terms of B V and α ⊥ (π). This operation is equivalent to solving away the axialvector meson field through its equation of motion, just like a way [20] of integrating out higher Kaluza-Klein modes arising in holographic QCD, which keeps the gauge invariance manifestly. We then find that the O 1 -O 4 , O 12 and O 13 terms in Eq.…”

Section: Discussionmentioning

confidence: 99%

Anomalousω-Z-γvertex from hidden local symmetry

2011

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We formulate the general form of ω-Z-γ vertex in the framework based on the hidden local symmetry (HLS), which arises from the gauge invariant terms for intrinsic parity-odd (IP-odd) part of the effective action. Those terms are given as the homogeneous part of the general solution (having free parameters) to the Wess-Zumino (WZ) anomaly equation and hence are not determined by the anomaly, in sharp contrast to the Harvey-Hill-Hill (HHH) action where the relevant vertex is claimed to be uniquely determined by the anomaly. We show that, even in the framework that HHH was based on, the ω-Z-γ vertex is actually not determined by the anomaly but by the homogeneous (anomaly-free) part of the general solution to the WZ anomaly equation having free parameters in the same way as in the HLS formulation: The HHH action is just a particular choice of the free parameters in the general solution. We further show that the ω-Z-γ vertex related to the neutrino (ν) -nucleon (N ) scattering cross section σ(νN → νN (N ′ )γ) is determined not by the anomaly but by the anomaly-free part of the general solution having free parameters. Nevertheless we find that the cross section σ(νN → νN (N ′ )γ) is related through the Ward-Takahashi identity to Γ(ω → π 0 γ) which has the same parameter-dependence as that of σ(νN → νN (N ′ )γ) and hence the ratio σ(νN → νN (N ′ )γ)/Γ(ω → π 0 γ) is fixed independently of these free parameters. Other set of the free parameters of the general solution can be fixed to make the best fit of the ω → π 0 l + l − process, which substantially differs from the HHH action. This gives a prediction of the cross section σ(νN → νN (N ′ )γ * (l + l − )) to be tested at ν-N collision experiments in the future.

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Section: Discussionmentioning

confidence: 99%

Anomalousω-Z-γvertex from hidden local symmetry

2011

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“…[13], we shall integrate out the KK fields to reduce the DBI action Eq. (45) to the HLS action in terms of the derivative expansion of the pseudoscalar meson and the lowest-lying vector meson fields up to chiral order O(p 4 ).…”

Section: The Ip-even Part Of the Hidden Local Symmetry Lagrangianmentioning

confidence: 99%

“…[13] based on the Sakai-Sugimoto model. This reflects the ambiguity in the subtracting scheme in Eq.…”

Section: The Ip-odd Sector Of the Hidden Local Symmetry Lagrangianmentioning

confidence: 99%

“…[12,13], the authors proposed a gauge-invariant methodology for integrating out the infinite tower of vector and axial-vector fields arising from hQCD models of the top-down approach such as the Sakai-Sugimoto model [3,4], without bulk scalar fields, by regarding an infinite tower of the vector and axialvector mesons in the hQCD model as a set of gauge bosons of HLSs [14]. The hQCD models were then reformulated in terms of the ChPT having the HLS (HLSChPT) [11,15] described by the NGBs, and the ρ meson and its flavor partners.…”

Section: Introductionmentioning

confidence: 99%

“…[12,13], we propose a gauge-invariant procedure for integrating out the infinite towers of scalar and pseudoscalar fields, in addition to vector and axial-vector fields, from hQCD models: The resultant effective theory is reformulated as the HLS-ChPT. To be concrete, we employ bottom-up hard-wall-type of models such as those discussed in Refs.…”

Section: Introductionmentioning

confidence: 99%

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Chiral effective theories from holographic QCD with scalars

Harada

Matsuzaki

2014

Phys. Rev. D

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We develop a method for integrating out the heavy Kaluza-Klein modes of scalar type as well as those of vector and axial-vector types, in a class of hard-wall bottom-up approaches of holographic QCD models, including the Dirac-Born-Infeld and Chern-Simons parts. By keeping only the lowestlying vector mesons, we first obtain an effective chiral Lagrangian of the vector mesons based on the hidden local symmetry, and all the low-energy constants in the HLS Lagrangian are expressed in terms of holographic integrals and, consequently, are fully determined by the holographic geometry and a few constants of mesons. We find that the Gell-Mann-Oakes-Renner relation is manifestly reproduced at the lowest order of derivative expansion. We also explicitly show that a naive inclusion of the Chern-Simons term cannot reproduce the desired chiral anomaly in QCD, and hence, some counterterms should be provided: This implies that the holographic QCD models of hard-wall type cannot give definite predictions for the intrinsic parity-odd vertices involving vector and axial-vector mesons. After integrating out the vector mesons from the HLS Lagrangian, we further obtain the Lagrangian of chiral perturbation theory for pseudoscalar mesons with all the low-energy constants fully determined.

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General resonance mediation

McGarrie

2013

J. High Energ. Phys.

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Abstract:We extend the framework of general gauge mediation to cases where the mediating fields have a nontrivial spectral function, as might arise from strong dynamics. Demonstrating through examples, this setup describes a broad class of possible models of gauge mediated supersymmetry breaking. A main emphasis is to give general formulas for cross sections for σ(visible → hidden) in these resonance models. We will also give formulas for soft masses, A-terms and demonstrate the framework with a holographic setup.

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Holographic QCD integrated back to hidden local symmetry

Cited by 24 publications

References 56 publications

Anomalousω-Z-γvertex from hidden local symmetry

Anomalousω-Z-γvertex from hidden local symmetry

Chiral effective theories from holographic QCD with scalars

General resonance mediation

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