Deep inelastic scattering on an extremal Reissner-Nordström-AdS black hole. II. Holographic fermi surface
Abstract
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.
- Authors:
- Publication Date:
- Research Org.:
- State Univ. of New York (SUNY), Albany, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1605322
- Alternate Identifier(s):
- OSTI ID: 1800699
- Grant/Contract Number:
- FG-88ER40388; FG02-88ER40388
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 6; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; Astronomy & Astrophysics; Physics
Citation Formats
Mamo, Kiminad A., and Zahed, Ismail. Deep inelastic scattering on an extremal Reissner-Nordström-AdS black hole. II. Holographic fermi surface. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.101.066014.
Mamo, Kiminad A., & Zahed, Ismail. Deep inelastic scattering on an extremal Reissner-Nordström-AdS black hole. II. Holographic fermi surface. United States. https://doi.org/10.1103/PhysRevD.101.066014
Mamo, Kiminad A., and Zahed, Ismail. Tue .
"Deep inelastic scattering on an extremal Reissner-Nordström-AdS black hole. II. Holographic fermi surface". United States. https://doi.org/10.1103/PhysRevD.101.066014.
@article{osti_1605322,
title = {Deep inelastic scattering on an extremal Reissner-Nordström-AdS black hole. II. Holographic fermi surface},
author = {Mamo, Kiminad A. and Zahed, Ismail},
abstractNote = {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.},
doi = {10.1103/PhysRevD.101.066014},
journal = {Physical Review D},
number = 6,
volume = 101,
place = {United States},
year = {2020},
month = {3}
}
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