Deep inelastic structure functions from supergravity at small<i>x</i>

Ballon-Bayona, Alfonso; Boschi-Filho, Henrique; Braga, Nelson R. F.

doi:10.1088/1126-6708/2008/10/088

Cited by 41 publications

(48 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Due to superconformal invariance, the linear combination (3.19) has vanishing anomalous dimension to all orders [37]. Combining this fact with the anomalous dimension of ∆Σ at strong coupling, γ ≈ −λ 1/4 , one finds 20) where C andC are integration constants (independent of Q 2 ), and therefore,…”

Section: Jhep08(2009)007mentioning

confidence: 94%

See 1 more Smart Citation

Polarized DIS in 𝒩 = 4 SYM: where is spin at strong coupling?

Hatta¹,

Ueda²,

Xiao³

2009

J. High Energy Phys.

View full text Add to dashboard Cite

Using the AdS/CFT correspondence, we calculate the polarized structure functions in strongly coupled N = 4 supersymmetric Yang-Mills theory deformed in the infrared. We find that the flavor singlet contribution to the g 1 structure function is vanishingly small, while the flavor non-singlet contribution shows the Regge behavior at small-x with an intercept slightly less than 1. We explicitly check that the latter satisfies the moment sum rule. We discuss the 'spin crisis' problem and suggest that at strong coupling the spin of a hadron entirely comes from the orbital angular momentum.

show abstract

Section: Jhep08(2009)007mentioning

confidence: 94%

“…In the context of gauge/string duality, DIS was first formulated in [16] for the unpolarized case (see, also [17][18][19][20][21][22]), and recently generalized to the polarized case in [23]. The analysis of [23] is focused on the large-x region which corresponds to the supergravity approximation on the string theory side.…”

Section: Jhep08(2009)007mentioning

confidence: 99%

Polarized DIS in 𝒩 = 4 SYM: where is spin at strong coupling?

Hatta¹,

Ueda²,

Xiao³

2009

J. High Energy Phys.

View full text Add to dashboard Cite

show abstract

“…Geometry back-reaction in AdS may also be relevant to the infrared physics [58] and wall dynamics [59]. The gauge theory/gravity duality also provides a convenient framework for the description of deep inelastic scattering structure functions at small x [60,61,62], a unified description of hard and soft pomeron physics [63] and gluon scattering amplitudes at strong coupling [64].…”

Section: Introductionmentioning

confidence: 99%

AdS/CFT and Light-Front QCD

Brodsky

Téramond

2009

Search for the “Totally Unexpected” in the LHC Era

103

View full text Add to dashboard Cite

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.

show abstract

“…After this seminal proposal, several calculations have been carried out in various holographic frameworks [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38]. In particular, in [39] the nucleon structure function F 2 was computed analyzing the virtual γ * p total cross section, and two contributions were obtained, a term for conformal gauge theories and an additional term accounting for confinement.…”

Section: Holographic Proton Structure Functionsmentioning

confidence: 99%

“…[14]), [15][16][17] is important to access the nonperturbative sector of gauge theories, and can be used to study features of QCD [18][19][20][21]. The method has been applied to DIS at strong coupling [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38]. In particular, at low x the nucleon structure function F N 2 (x, Q 2 ) has been computed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Nuclear structure functions at low- $$x$$ x in a holographic approach

2014

View full text Add to dashboard Cite

Nuclear effects in deep inelastic scattering at low x are phenomenologically described changing the typical dynamical and/or kinematical scales characterizing the free nucleon case. In a holographic approach, this rescaling is an analytical property of the computed structure function F 2 (x, Q 2 ). This function is given by the sum of a conformal term and of a contribution due to quark confinement, depending on IR hard-wall parameter z 0 and on the mean square distances, related to a parameter Q , among quarks and gluons in the target. The holographic structure function per nucleon in a nucleus A is evaluated showing that a rescaling of the typical nucleon size, z 0 and Q , due to nuclear binding, can be reabsorbed in a Q 2 -rescaling scheme. The difference between neutron and proton structure functions and the effects of the longitudinal structure functions can also be taken into account. The obtained theoretical results favorably compare with the experimental data.

show abstract

Deep inelastic structure functions from supergravity at smallx

Cited by 41 publications

References 17 publications

Polarized DIS in 𝒩 = 4 SYM: where is spin at strong coupling?

Polarized DIS in 𝒩 = 4 SYM: where is spin at strong coupling?

AdS/CFT and Light-Front QCD

Nuclear structure functions at low- $$x$$ x in a holographic approach

Contact Info

Product

Resources

About