Long-distance properties of baryons in the Sakai–Sugimoto model

Cherman, Aleksey; Ishii, Takaaki

doi:10.1103/physrevd.86.045011

Cited by 29 publications

(47 citation statements)

References 56 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here we explicitly prove this statement, generalizing the asymptotic instanton solutions found in [21,25] to an arbitrary background. A few ambiguities in the solutions are clarified during our analysis.…”

Section: Introductionsupporting

confidence: 65%

“…[25] it was shown that, solving the full set of equations of motion, the correct power behavior can be recovered in this model. In the following sections we give a modelindependent derivation for the form factors, showing that the linear approximation used in the meson sector is not suitable for describing baryons, and that the resulting VMD picture for nucleons is doubtful.…”

Section: B Linear Approximationmentioning

confidence: 96%

“…It was argued that the failure to reproduce the correct infrared behavior in the Sakai-Sugimoto model can be attributed to the linear approximation taken there [25]. Indeed, renouncing this approximation and solving asymptotically the full instanton equations, the expected large-distance behavior is recovered [25].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Large-distance properties of holographic baryons

2013

View full text Add to dashboard Cite

Employing the asymptotic instanton solution in an arbitrary background of a set of holographic QCD models, we show that baryon form factors have a precise large-distance behaviour regardless of the background. The dependence coincides with that obtained from general chiral soliton models and large-N C chiral perturbation theory. The nonlinear terms in the equations of motion are necessary to recover the correct results. We also show that the holographic currents have the right structure at low energy if the solutions of the full equation of motion, instead of the linearized ones, are used. The indication is that in this holographic approach, the linearized approximation used in the meson sector is not appropriate for the solitonic description of the baryons.

show abstract

Section: Introductionsupporting

confidence: 65%

Section: B Linear Approximationmentioning

confidence: 96%

See 1 more Smart Citation

Large-distance properties of holographic baryons

2013

View full text Add to dashboard Cite

show abstract

“…Once the correct algebraic decay is recognized the puzzle evaporates, as it was simply a consequence of applying a linear result beyond its region of validity. The algebraic decay of the holographic Skyrmion fields was first discovered by Cherman and Ishii 36 , who performed a large r expansion to obtain the asymptotic fields. However, they were only able to implement their approach by introducing a UV cutoff, with an associated singularity in the limit as this cutoff is removed: prompting them to speculate on possible resolutions that included holographic renormalization and boundary counterterms.…”

Section: The Holographic Skyrmion In the Sakai-sugimoto Modelmentioning

confidence: 99%

Holographic Skyrmions

Sutcliffe

2015

Mod. Phys. Lett. B

View full text Add to dashboard Cite

The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. Skyrmions are topological solitons that describe baryons within a nonlinear theory of pions. In holographic QCD, baryons correspond to topological solitons in a bulk theory with an extra spatial dimension: thus the three-dimensional Skyrmion lifts to a fourdimensional holographic Skyrmion in the bulk. We begin this review with a description of the simplest example of this correspondence, where the holographic Skyrmion is exactly the self-dual Yang-Mills instanton in flat space. This places an old result of Atiyah and Manton within a holographic framework and reveals that the associated Skyrme model extends the nonlinear pion theory to include an infinite tower of vector mesons, with specific couplings for a BPS theory. We then describe the more complicated curved space version that arises from the string theory construction of Sakai and Sugimoto. The basic concepts remain the same but the technical difficulty increases as the holographic Skyrmion is a curved space version of the Yang-Mills instanton, so self-duality and integrability are lost. Finally, we turn to a low-dimensional analogue of holographic Skyrmions, where aspects such as multi-baryons and finite baryon density are amenable to both numerical computation and an approximate analytic treatment.

show abstract

“…5 In contrast to previous treatments of the model, we directly solve for the long-distance behavior of the holographic baryon. We find that the structure of this long-distance solution is such that Eq.…”

Section: Introductionmentioning

confidence: 99%