Stabilization of skyrmions via ϱ-mesons

Igarashi, Y.; Hohmura, M.; Kobayashi, Akizo; Otsu, Hideharu; Sato, Toyoyuki; Sawada, Shoji

doi:10.1016/0550-3213(85)90010-0

Cited by 80 publications

(56 citation statements)

References 18 publications

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“…On the other hand, the Skyrme quartic term stabilizes the soliton in the Skyrme model. Thus, in the present model, the ρ and ω mesons do play the same role as the Skyrme quartic term [33][34][35]. The present results for the pressure distribution illustrate this well-known fact.…”

Section: Changessupporting

confidence: 73%

In-medium modified energy-momentum tensor form factors of the nucleon within the framework of a π - ρ - ω soliton model

et al. 2014

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Section: Changessupporting

confidence: 73%

In-medium modified energy-momentum tensor form factors of the nucleon within the framework of a π - ρ - ω soliton model

et al. 2014

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“…Furthermore, large N c QCD reduces to the weak coupling system including not only pions but also other mesons like ρ, ω, and a 1 . With these considerations, the relations of stable Skyrmions with vector and axial vector mesons are discussed in some context [24,25]. As for the effective action between pions and (axial) vector mesons, hidden local symmetry approach was suggested as a phenomenological treatment for the low-energy meson dynamics [3].…”

Section: A Standard Skyrmions and Brane-induced Skyrmionsmentioning

confidence: 99%

“…This Ansatz for ρ meson field is also called "Wu-Yang-'tHooft-Polyakov Ansatz" [24], and the same configuration Ansatz can be seen in the context of the gauge field in the 'tHooft-Polyakov monopole [23]. ρ meson field is sometimes described by two pion configurations as ρ ia ∼ [π × ∂ i π] a , for example, in the hidden local symmetry approach [3].…”

Section: B Hedgehog Ansatz For Pion and ρ Meson Configurationsmentioning

confidence: 99%

“…The kinetic term of ρ mesons is also assumed to be dynamically generated by some quantum effects in QCD as the dynamical pole generations. To discuss the effect of vector mesons for the Skyrme solitons, Igarashi et al [24] included ρ mesons as the dynamical gauge boson of hidden local symmetry, without adding four-derivative terms like the Skyrme term, and showed that the kinetic term of ρ mesons becomes the Skyrme term in some parameter limit. However there are large varieties for the hidden local symmetric terms, and action is not still uniquely determined in that framework.…”

Section: A Standard Skyrmions and Brane-induced Skyrmionsmentioning

confidence: 99%

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Baryons in holographic QCD

2007

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We study baryons in holographic QCD with D4/D8/D8 multi D-brane system. In holographic QCD, the baryon appears as a topologically non-trivial chiral soliton in a four-dimensional effective theory of mesons. We call this topological soliton as Brane-induced Skyrmion. Some review of D4/D8/D8 holographic QCD is presented from the viewpoints of recent hadron physics and QCD phenomenologies. A four-dimensional effective theory with pions and ρ mesons is uniquely derived from the non-abelian Dirac-Born-Infeld (DBI) action of D8 brane with D4 supergravity background at the leading of large Nc, without small amplitude expansion of meson fields to discuss chiral solitons. For the hedgehog configuration of pion and ρ-meson fields, we derive the energy functional and the Euler-Lagrange equation of Brane-induced Skyrmion from the meson effective action induced by holographic QCD. Performing the numerical calculation, we obtain the soliton solution and figure out the pion profile F (r) and the ρ-meson profileG(r) of the Brane-induced Skyrmion with its total energy, energy density distribution, and root-mean-square radius. These results are compared with the experimental quantities of baryons and also with the profiles of standard Skyrmion without ρ mesons. We analyze interaction terms of pions and ρ mesons in Brane-induced Skyrmion, and find a significant ρ-meson component appearing in the core region of a baryon.

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“…This can be done by giving a dynamics to the photon, which is the source associated to the electromagnetic current in Eq. (5). Making the source dynamical means integrating also over it in the path integral and this is the same as changing from Dirichlet to Neumann the UV-boundary condition of the corresponding 5D field V µ /3 + V 3 µ , where V = L + R. The electric charge is fixed to its experimental value e by adding a localized kinetic term for the photon of the form − (1/e 2 − c.t.)…”

Section: Meson Anomalous Couplings From the Cs Termmentioning

confidence: 99%

Baryon physics in holographic QCD

2009

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In a simple holographic model for QCD in which the Chern-Simons term is incorporated to take into account the QCD chiral anomaly, we show that baryons arise as stable solitons which are the 5D analogs of 4D skyrmions. Contrary to 4D skyrmions and previously considered holographic scenarios, these solitons have sizes larger than the inverse cut-off of the model, and therefore they are predictable within our effective field theory approach. We perform a numerical determination of several static properties of the nucleons and find a satisfactory agreement with data. We also calculate the amplitudes of "anomalous" processes induced by the Chern-Simons term in the meson sector, such as ω → πγ and ω → 3π. A combined fit to baryonic and mesonic observables leads to an agreement with experiments within 16%.

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Stabilization of skyrmions via ϱ-mesons

Cited by 80 publications

References 18 publications

In-medium modified energy-momentum tensor form factors of the nucleon within the framework of a π - ρ - ω soliton model

In-medium modified energy-momentum tensor form factors of the nucleon within the framework of a π - ρ - ω soliton model

Baryons in holographic QCD

Baryon physics in holographic QCD

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