DIS off glueballs from string theory: the role of the chiral anomaly and the Chern-Simons term

Kovensky, Nicolas; Michalski, Gustavo; Schvellinger, Martín

doi:10.1007/jhep04(2018)118

Cited by 11 publications

(32 citation statements)

References 48 publications

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“…The last is a chiral theory, therefore it may lead to a non-vanishing F 3 . In this sense this result is in perfect agreement with respect to the glueball case presented in reference [3]. The condition for F 3 to be nonvanishing is that the IR deformation of N = 4 SYM theory must be such that there are massless Nambu-Goldstone modes associated to the spontaneously broken R-symmetry [4].…”

Section: Introductionsupporting

confidence: 84%

“…In the IR we assume the cut-off z 0 = 1/Λ. In [3] we have calculated holographically the structure function F 3 (x, q 2 ) for glueballs of N = 4 SYM theory. This has also been done at strong coupling and at low x.…”

Section: Figurementioning

confidence: 99%

“…On the other hand, the relevant effective Lagrangian can also be constructed in a heuristic way [3] 6 (also see [7]), which basically involves two steps. Firstly, we have to consider the five-dimensional supergravity interactions together with the graviton propagator.…”

Section: Dis From Spin-1/hadrons At Low X: the Graviton Exchange Contmentioning

confidence: 99%

“…The dependence on the S 5 radius is accounted for by using dimensional analysis. 7 Details are given in reference [3].…”

Section: Dis From Spin-1/hadrons At Low X: the Graviton Exchange Contmentioning

confidence: 99%

“…This spontaneous compactification of type IIB supergravity leads to a fivedimensional Chern-Simons term [47,48,49] that will be very important in the calculation of antisymmetric structure functions described in section 3. We will follow closely the steps described in our previous paper [3], however there is a crucial difference now, namely: instead of using a dilaton wave-function, in the present heuristic case we must consider the wavefunction of a dilatino field ψ(x, z), representing the spin-1/2 hadron.…”

Section: Heuristic Derivation Of the Effective Lagrangianmentioning

confidence: 99%

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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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Section: Introductionsupporting

confidence: 84%

Section: Figurementioning

confidence: 99%

Section: Dis From Spin-1/hadrons At Low X: the Graviton Exchange Contmentioning

confidence: 99%

“…The dependence on the S 5 radius is accounted for by using dimensional analysis. 7 Details are given in reference [3].…”

Section: Dis From Spin-1/hadrons At Low X: the Graviton Exchange Contmentioning

confidence: 99%

Section: Heuristic Derivation Of the Effective Lagrangianmentioning

confidence: 99%

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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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Spin-1/2 fermionic operators of $$ \mathcal{N} $$ = 4 SYM theory and DIS from type IIB supergravity

Jorrin

Michalski

Schvellinger

2020

J. High Energ. Phys.

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We study deep inelastic scattering (DIS) of charged leptons from polarised spin-1/2 hadrons in terms of the gauge/gravity duality. We calculate the structure functions related to spin-1/2 fermionic operators of N = 4 SYM theory in the planar limit and at strong coupling. Specifically, we focus on the twist-3 operator which is dual to a certain dilatino mode and gives the leading contribution to the hadronic tensor. We consider the Bjorken variable within the parametric range λ −1/2 SYM ≪ x < 1 where the supergravity dual description holds. From dimensional reduction of type IIB supergravity on the five-sphere, we derive the interaction terms involving two dilatini and a massless vector field mode. This vector field is a linear combination of certain components of the graviton and the four-form potential. The angular integrals on the five-sphere lead to selection rules for the interactions with important consequences on the dynamics. This implies the existence of new terms contributing to the structure functions that we explicitly calculate. The leading contribution comes from the Pauli term, followed by the contributions from the new terms we found.

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Deep inelastic scattering with proton target in the presence of gluon condensation using holography*

2023

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We study the deep inelastic scattering (DIS) of a proton-targeted lepton in the presence of gluon condensation using gauge/gravity duality. We use a modified AdS_5 background where the modification parameter c corresponds to the gluon condensation in the boundary theory. Firstly, when examining the electromagnetic field, we nd that non-zero c can increase the magnitude of the field. Our goal is to nd the acceptable value of c for this scattering and our method is based on setting the mass of the proton as an eigenvalue of the baryonic state equations of the DIS to nd the acceptable value of the parameter c on the other side of the equations. Therefore in the second step, we calculate wave function equations for the baryonic states where the mass of the proton target requires a value contribution of c as c = 0:0120 GeV^4. Proceeding by the electromagnetic field and the baryonic states, we derive the holographic interaction action related to the amplitude of the scattering. Finally, we compute the corresponding structure functions numerically as functions of x and q, which are Bjorken variables and the lepton momentum transfers, respectively. Comparing the Jlab Hall C data with our theoretical calculations, our results are acceptable.Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.

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DIS off glueballs from string theory: the role of the chiral anomaly and the Chern-Simons term

Cited by 11 publications

References 48 publications

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

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

Spin-1/2 fermionic operators of $$ \mathcal{N} $$ = 4 SYM theory and DIS from type IIB supergravity

Deep inelastic scattering with proton target in the presence of gluon condensation using holography*

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