Inclusive Production Through AdS/CFT

Nally, Richard; Raben, Timothy G.; Tan, Chung-I

doi:10.48550/arxiv.1702.05502

Cited by 4 publications

(5 citation statements)

References 88 publications

(214 reference statements)

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“…In this context, a particular interesting phenomena is the so-called glueball melting [64]. Finally, the study of higher spin glueballs and the pomeron could be pursued, along the lines of [65] and more recently [50,[66][67][68].…”

Section: Discussionmentioning

confidence: 99%

Effective holographic models for QCD: Glueball spectrum and trace anomaly

et al. 2018

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We investigate effective holographic models for QCD arising from five dimensional Dilaton-Gravity. The models are characterized by a dilaton with a mass term in the UV, dual to a CFT deformation by a relevant operator, and quadratic in the IR. The UV constraint leads to the explicit breaking of conformal symmetry whereas the IR constraint guarantees linear confinement. We propose semi-analytic interpolations between the UV and the IR and obtain a spectrum for scalar and tensor glueballs consistent with lattice QCD data. We use the glueball spectrum as a physical constraint to find the evolution of the model parameters as the mass term goes to zero. Finally, we reproduce the universal result for the trace anomaly of deformed CFTs and propose a dictionary between this result and the QCD trace anomaly. A nontrivial consequence of this dictionary is the emergence of a β function similar to the two-loop perturbative QCD result.

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Section: Discussionmentioning

confidence: 99%

Effective holographic models for QCD: Glueball spectrum and trace anomaly

et al. 2018

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“…For observables depending on four-point functions, for instance for the ∆I = 1/2 rule for the kaon decay the level of agreement is about 25% or better [60,61]. 15 See for example [35,36,37,38,39] and references therein.…”

Section: Structure Functions Results At Low Xmentioning

confidence: 99%

“…The development of a unified description of the Regge physics and the BFKL Pomeron using the AdS/CFT duality has been done in [10]. Further developments including the eikonal approach, have been presented in [30,31,32,33,34,35,36,37,38,39]. Other aspects of applications of the AdS/CFT correspondence to DIS processes can be found in [40,41,42,43,44,45].…”

Section: Introductionmentioning

confidence: 99%

Deep inelastic scattering from polarized spin-1/2 hadrons at low x from string theory

Kovensky

Michalski

Schvellinger

2018

J. High Energ. Phys.

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We study polarized deep inelastic scattering of charged leptons from spin-1/2 hadrons at low values of the Bjorken parameter and large 't Hooft coupling in terms of the gauge/string theory duality. We calculate the structure functions from type IIB superstring theory scattering amplitudes. We discuss the role of the non-Abelian Chern-Simons term and the Pauli term from the five-dimensional SU(4) gauged supergravity. Furthermore, the exponentially small-x regime where Regge physics becomes important is analyzed in detail for the antisymmetric structure functions. In this case the holographic dual picture of the Pomeron exchange is realized by a Reggeized gauge field. We compare our results with experimental data of the proton antisymmetric structure function g 1 , obtaining a very good level of agreement.

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“…From a CFT perspective, one is now working with Wightman functions. This analysis can be generalized to treating other more involved inclusive processes [21].…”

Section: Reduction To D =mentioning

confidence: 99%

Minkowski conformal blocks and the Regge limit for Sachdev-Ye-Kitaev-like models

Raben¹,

Tan²

2018

Phys. Rev. D

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We discuss scattering in a CFT via the conformal partial-wave analysis and the Regge limit. The focus of this paper is on understanding an OPE with Minkowski conformal blocks. Starting with a t-channel OPE, it leads to an expansion for an s-channel scattering amplitude in terms of t-channel exchanges. By contrasting with Euclidean conformal blocks we see a precise relationship between conformal blocks in the two limits without preforming an explicit analytic continuation. We discuss a generic feature for a CFT correlation function having singular F (M ) (u, v) ∼ u −δ , δ > 0, in the limit u → 0 and v → 1. Here, δ = ( ef f − 1)/2, with ef f serving as an effective spin and it can be determined through an OPE. In particular, it is bounded from above, ef f ≤ 2, for all CFTs with a gravity dual, and it can be associated with string modes interpolating the graviton in AdS. This singularity is historically referred to as the Pomeron. This bound is nearly saturated by SYK-like effective d = 1 CFT, and its stringy and thermal corrections have piqued current interests. Our analysis has been facilitated by dealing with Wightman functions. We provide a direct treatment in diagonalizing dynamical equations via harmonic analysis over physical scattering regions. As an example these methods are applied to the SYK model.

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Inclusive Production Through AdS/CFT

Cited by 4 publications

References 88 publications

Effective holographic models for QCD: Glueball spectrum and trace anomaly

Effective holographic models for QCD: Glueball spectrum and trace anomaly

Deep inelastic scattering from polarized spin-1/2 hadrons at low x from string theory

Minkowski conformal blocks and the Regge limit for Sachdev-Ye-Kitaev-like models

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