Skyrmions with holography and hidden local symmetry

Journal Article · Mon Jun 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.126005· OSTI ID:21301042

Nawa, Kanabu; Hosaka, Atsushi; Suganuma, Hideo ^[1]

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1. Research Center for Nuclear Physics (RCNP), Osaka University, Mihogaoka 10-1, Ibaraki, Osaka 567-0047 (Japan)

We study baryons as Skyrmions in holographic QCD with D4/D8/D8 multi-D brane system in type IIA superstring theory, and also in the nonlinear sigma model with hidden local symmetry. Comparing these two models, we find that the extra dimension and its nontrivial curvature can largely change the role of (axial) vector mesons for baryons in four-dimensional space-time. In the hidden local symmetry approach, the {rho}-meson field as a massive Yang-Mills field has a singular configuration in Skyrmion, which gives a strong repulsion for the baryon as a stabilizer. When the a{sub 1} meson is added in this approach, the stability of Skyrmion is lost by the cancellation of {rho} and a{sub 1} contributions. On the contrary, in holographic QCD, the {rho}-meson field does not appear as a massive Yang-Mills field due to the extra dimension and its nontrivial curvature. We show that the {rho}-meson field has a regular configuration in Skyrmion, which gives a weak attraction for the baryon in holographic QCD. We argue that Skyrmion with {pi}, {rho}, and a{sub 1} mesons become stable due to the curved extra dimension and also the presence of the Skyrme term in holographic QCD. From this result, we also discuss the features of our truncated-resonance analysis on baryon properties with {pi} and {rho} mesons below the cutoff scale M{sub KK}{approx}1 GeV in holographic QCD, which is compared with other 5D instanton analysis.

• OSTI ID: 21301042
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIAL VECTOR MESONS
BARYONS
CONFIGURATION
D-BRANES
FOUR-DIMENSIONAL CALCULATIONS
GEV RANGE 01-10
HOLOGRAPHY
NONLINEAR PROBLEMS
QUANTUM CHROMODYNAMICS
RESONANCE
SIGMA MODEL
SKYRME POTENTIAL
SOLITONS
SPACE-TIME
STABILITY
SUPERSTRING MODELS
SUPERSTRING THEORY
SYMMETRY
YANG-MILLS THEORY