Pion form factor in improved holographic QCD backgrounds

Kwee, Herry J.; Lebed, Richard F.

doi:10.1103/physrevd.77.115007

Cited by 70 publications

(103 citation statements)

References 51 publications

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“…A lot of effort has been devoted in bottom-up models to estimate other QCD related properties as for example form factors, see for instance [100][101][102][103][104][105][106][107][108]. To reproduce such computations in the present setting and compare the results is an interesting problem that we leave open for the future.…”

Section: Discussionmentioning

confidence: 99%

Thermodynamics of SU(N) Yang-Mills theories in 2 + 1 dimensions II — The deconfined phase

Caselle

Castagnini

Feo

et al. 2012

J. High Energ. Phys.

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A simple holographic model is presented and analyzed that describes chiral symmetry breaking and the physics of the meson sector in QCD. This is a bottom-up model that incorporates string theory ingredients like tachyon condensation which is expected to be the main manifestation of chiral symmetry breaking in the holographic context. As a model for glue the Kuperstein-Sonnenschein background is used. The structure of the flavor vacuum is analyzed in the quenched approximation. Chiral symmetry breaking is shown at zero temperature. Above the deconfinement transition chiral symmetry is restored. A complete holographic renormalization is performed and the chiral condensate is calculated for different quark masses both at zero and non-zero temperatures. The 0 ++ , 0 −+ , 1 ++ , 1 −− meson trajectories are analyzed and their masses and decay constants are computed. The asymptotic trajectories are linear. The model has one phenomenological parameter beyond those of QCD that affects the 1 ++ , 0 −+ sectors. Fitting this parameter we obtain very good agreement with data. The model improves in several ways the popular hard-wall and soft wall bottom-up models.

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Section: Discussionmentioning

confidence: 99%

Thermodynamics of SU(N) Yang-Mills theories in 2 + 1 dimensions II — The deconfined phase

Caselle

Castagnini

Feo

et al. 2012

J. High Energ. Phys.

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“…Our goal is to incorporate the formalism developed in Ref. [26] (see also [31]), where it was applied to the pion form factor within the framework of the AdS/QCD model of Refs. [6,8].…”

Section: Pion Electromagnetic Form Factormentioning

confidence: 99%

Pion in the holographic model with 5D Yang-Mills fields

Grigoryan

Radyushkin

2008

Phys. Rev. D

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We study pion in the holographic model of Hirn and Sanz which contains two Yang-Mills fields defined in the background of the sliced AdS space. The infrared boundary conditions imposed on these fields generate the spontaneous breaking of the chiral symmetry down to its vector subgroup. Within the framework of this model, we get an analytic expression for the pion form factor and a compact result for its radius. We also extend the holographic model to include Chern-Simons term which is required to reproduce the appropriate axial anomaly of QCD. As a result, we calculate the anomalous form factor of the pion and predict its Q 2 -slope for the kinematics when one of the photons is almost on-shell. We also observe that the anomalous form factor with one real and one virtual photon is given by the same analytic expression as the electromagnetic form factor of a charged pion. One of the advantages of the present model is that it does not require an infrared boundary counterterm to correctly reproduce the anomaly of QCD.

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“…So in order to describe a confining theory, the conformal invariance of AdS 5 must be broken somehow. Two strategies AdS/QCD background have been suggested in the literatures hard-wall model [11][12][13][14][15][16] and soft-wall model [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. In hard-wall model to impose confinement and discrete normalizable modes that is to truncate the regime where string modes can propagate by introducing an IR cutoff in the fifth dimension at a finite value z 0 ∼ 1 Λ QCD .…”

Section: Introductionmentioning

confidence: 99%

The effects of deformation parameter on thermal width of moving quarkonia in plasma

Sadeghi

Tahery

2015

J. High Energ. Phys.

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In general we can say that the thermal width of quarkonia corresponds to imaginary part of it's potential. Gravity dual of theories give explicit form of potential as V QQ . Since there is an explicit formula for ImV QQ one can consider different gravity duals and study the results of contribution of various parameters. Variable gravity duals of moving pair in plasma have different results for potential. Our paper shows that deformation parameter c in warp factor leads to new results that we present them for arbitrary angles of the pair with respect to it's velocity. We compare our results with the case that no deformation parameter is in metric background. We will see that the thermal width of the pair increases with increasing deformation parameter. Also, for nonzero values of deformation parameter the pair feels moving plasma in all distances. In addition our results indicate that contribution of deformation parameter leads to larger dissociation length for the moving pair reverse to the effect of the pair's velocity in the plasma.

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Pion form factor in improved holographic QCD backgrounds

Cited by 70 publications

References 51 publications

Thermodynamics of SU(N) Yang-Mills theories in 2 + 1 dimensions II — The deconfined phase

Thermodynamics of SU(N) Yang-Mills theories in 2 + 1 dimensions II — The deconfined phase

Pion in the holographic model with 5D Yang-Mills fields

The effects of deformation parameter on thermal width of moving quarkonia in plasma

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