Towards 1/N corrections to deep inelastic scattering from the gauge/gravity duality

Jan 7, 2016
45 pages
Published in:
  • JHEP 04 (2016) 113
  • Published: Apr 19, 2016
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Abstract: (Springer)
1/N2^{2} corrections to deep inelastic scattering (DIS) of charged leptons from glueballs at strong coupling are investigated in the framework of the gauge/gravity duality. The structure functions F1_{1} and F2_{2} (and also FL_{L} ) are studied at subleading order in the 1/N2^{2} expansion, in terms of q2^{2} and the Bjorken parameter x. The relevant type IIB supergravity one-loop diagrams (which correspond to DIS with two-hadron final states) are studied in detail, while n-loop diagrams (corresponding to DIS with (n + 1)-hadron final states) are briefly discussed. The 1/N^{2}^{n} and Λ2^{2} /q2^{2} dependence of the structure functions is analyzed. Within this context two very different limits are considered: one is the large N limit and the other one is when the virtual photon momentum transfer q is much larger than the infrared confining scale Λ. These limits do not commute.
Note:
  • 45 pages
  • AdS-CFT Correspondence
  • Gauge-gravity correspondence
  • gravitation: duality
  • scale: confinement
  • deep inelastic scattering
  • structure function
  • strong coupling
  • supergravity: Type IIB
  • glueball
  • Bjorken