<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:msup><mml:mi>q</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>corrections and gauge/string duality

Andreev, Oleg

doi:10.1103/physrevd.73.107901

Cited by 161 publications

(108 citation statements)

References 25 publications

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“…The resulting wave equations are equivalent to the radial equation of a two-dimensional oscillator, previously found in the context of mode propagation on AdS 5 × S 5 , in the light-cone formulation of Type II supergravity [79]. Also, equivalent results follow from the introduction of a gaussian warp factor in the AdS metric for the particular case of massless vector modes propagating in the distorted metric [80]. A different approach to the soft-wall (SW) consists in the non-conformal extension of the algebraic expressions found in the previous section to obtain directly the corresponding holographic LF wave equations.…”

Section: Soft-wall Holographic Modelmentioning

confidence: 73%

AdS/CFT and Light-Front QCD

Brodsky

Téramond

2009

Search for the “Totally Unexpected” in the LHC Era

103

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The AdS/CFT correspondence between string theory in AdS space and conformal field theories in physical space-time leads to an analytic, semi-classical model for strongly-coupled QCD which has scale invariance and dimensional counting at short distances and color confinement at large distances. The AdS/CFT correspondence also provides insights into the inherently nonperturbative aspects of QCD such as the orbital and radial spectra of hadrons and the form of hadronic wavefunctions. In particular, we show that there is an exact correspondence between the fifth-dimensional coordinate of AdS space z and a specific impact variable ζ which measures the separation of the quark and gluonic constituents within the hadron in ordinary space-time. This connection leads to AdS/CFT predictions for the analytic form of the frameindependent light-front wavefunctions (LFWFs) of mesons and baryons, the fundamental entities which encode hadron properties. The LFWFs in turn predict decay constants and spin correlations, as well as dynamical quantities such as form factors, structure functions, generalized parton distributions, and exclusive scattering amplitudes. Relativistic light-front equations in ordinary space-time are found which reproduce the results obtained using the fifth-dimensional theory and have remarkable algebraic structures and integrability properties. As specific examples we describe the behavior of the pion form factor in the space and time-like regions and determine the Dirac nucleon form factors in the space-like region. An extension to nonzero quark mass is used to determine hadronic distribution amplitudes of all mesons, heavy and light. We compare our results with the moments of the distribution amplitudes which have recently been computed from lattice gauge theory.

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Section: Soft-wall Holographic Modelmentioning

confidence: 73%

AdS/CFT and Light-Front QCD

Brodsky

Téramond

2009

Search for the “Totally Unexpected” in the LHC Era

103

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“…Various solutions of modified AdS background are discussed, namely, corresponding gauge theory are modified N = 4 SYM's. On the other hand, there are several works [14,15,16] to generalize the AdS/CFT correspondence to more realistic QCD. While there are several works to search elaborate string/supergravity solutions in full 10 dimensional space-time, whose holographic dual has properties similar to QCD, there are also many trials to directly construct five dimensional holographic dual of QCD by demanding to reproduce desired properties of QCD, which are referred to the AdS/QCD in our paper.…”

Section: Introductionmentioning

confidence: 99%

“…Especially, we adopt the model by Karch et al [15] which possesses a confinement mechanism with the help of a non-trivial dilaton background. It is worth mentioning an alternative model proposed by Andreev and Zakharov [16]. They adopt a deformed AdS 5 metric but a trivial dilaton field.…”

Section: Introductionmentioning

confidence: 99%

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Drag force, jet quenching, and an AdS/QCD model

2007

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In this note, two important transport observables in the RHIC experiment, damping rate and jet quenching parameter, are calculated from an AdS/QCD model. A quark moving in the viscous medium such as the Quark-Gluon-Plasma is modelled by an open string whose end point travels on the boundary of a deformed AdS 5 black hole. The correction introduced via the deformed AdS 5 is believed to help us better understand the data which is expected to be measured in the RHIC.

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“…However, in this model it can be shown that the partonic log of the two point vectorial Green function receives 1 /Q 2 -corrections differently from what holds in perturbative QCD Operator Product Expansion (OPE) [19][20][21][22]. Nevertheless, we find extremely interesting to have a model where the Regge region would be analytically related to the deep Euclidean region even though with the wrong OPE.…”

Section: Introductionmentioning

confidence: 96%

From OPE to chiral perturbation theory in holographic QCD

Greynat¹,

Cappiello²,

D’Ambrosio³

2016

Proceedings of the 8th International Workshop on Chiral Dynamics — PoS(CD15)

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Abstract. The soft wall model in holographic QCD has Regge trajectories but wrong operator product expansion (OPE) for the two-point vectorial QCD Green function. We modify the dilaton potential to comply with the OPE. We study also the axial two-point function using the same modified dilaton field and an additional scalar field to address chiral symmetry breaking. OPE is recovered adding a boundary term and low energy chiral parameters, F π and L 10 , are well described analytically by the model in terms of Regge spacing and QCD condensates. The model nicely supports and extends previous theoretical analyses advocating Digamma function to study QCD two-point functions in different momentum regions.

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1/q2corrections and gauge/string duality

Abstract: We make an estimate of the quadratic correction based on gauge/string duality. Like in QCD, it proves to be negative and proportional to the string tension.

Cited by 161 publications

References 25 publications

AdS/CFT and Light-Front QCD

AdS/CFT and Light-Front QCD

Drag force, jet quenching, and an AdS/QCD model

From OPE to chiral perturbation theory in holographic QCD

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