Deep inelastic scattering on an extremal Reissner-Nordström-AdS black hole. II. Holographic fermi surface

Mamo, Kiminad A.; Zahed, Ismail

doi:10.1103/PhysRevD.101.066014

Title: Deep inelastic scattering on an extremal Reissner-Nordström-AdS black hole. II. Holographic fermi surface

Journal Article · Tue Mar 17 00:00:00 EDT 2020 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.101.066014· OSTI ID:1605322

Mamo, Kiminad A.; Zahed, Ismail

We consider deep inelastic scattering (DIS) on a dense nucleus described as an extremal RN-AdS black hole with holographic quantum fermions in the bulk. We evaluate the 1-loop fermion contribution to the R-current on the charged black hole, and map it on scattering off a Fermi surface of a dense and large nucleus with fixed atomic number. Near the black hole horizon, the geometry is that of AdS₂ × R³ where the fermions develop an emergent Fermi surface with anomalous dimensions. DIS scattering off these fermions yields to anomalous partonic distributions mostly at large-x, as well as modified hard scattering rules. The pertinent R-ratio for the black hole is discussed. For comparison, the structure functions and the R-ratio in the probe or dilute limit with no backreaction on the geometry, are also derived. We formulate a hybrid holographic model for DIS scattering on heavy and light nuclei, which compares favorably to the existing data for Pb, Au, Fe, C, and He over a wide range of parton-x.

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Research Organization:: State Univ. of New York (SUNY), Albany, NY (United States); Stony Brook Univ., NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG-88ER40388; FG02-88ER40388

OSTI ID:: 1605322

Alternate ID(s):: OSTI ID: 1800699; OSTI ID: 2280787

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 101 Journal Issue: 6; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 3 works

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