Abstract
We explore the gravitational backreaction of a system consisting in a very large number of elementary fermions at finite temperature, in asymptotically AdS space. We work in the hydrodynamic approximation, and solve the Tolman-Oppenheimer-Volkoff equations with a perfect fluid whose equation of state takes into account both the relativistic effects of the fermionic constituents, as well as its finite temperature effects. We find a novel dense core-diluted halo structure for the density profiles in the AdS bulk, similarly as recently reported in flat space, for the case of astrophysical dark matter halos in galaxies. We further study the critical equilibrium configurations above which the core undergoes gravitational collapse towards a massive black hole, and calculate the corresponding critical central temperatures, for two qualitatively different central regimes of the fermions: the diluted-Fermi case, and the degenerate case. As a probe for the dual CFT, we construct the holographic two-point correlator of a scalar operator with large conformal dimension in the worldline limit, and briefly discuss on the boundary CFT effects at the critical points.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
T. Faulkner, H. Liu, J. McGreevy and D. Vegh, Emergent quantum criticality, Fermi surfaces and AdS 2, Phys. Rev. D 83 (2011) 125002 [arXiv:0907.2694] [INSPIRE].
S.-S. Lee, A Non-Fermi Liquid from a Charged Black Hole: A Critical Fermi Ball, Phys. Rev. D 79 (2009) 086006 [arXiv:0809.3402] [INSPIRE].
J. de Boer, K. Papadodimas and E. Verlinde, Holographic Neutron Stars, JHEP 10 (2010) 020 [arXiv:0907.2695] [INSPIRE].
X. Arsiwalla, J. de Boer, K. Papadodimas and E. Verlinde, Degenerate Stars and Gravitational Collapse in AdS/CFT, JHEP 01 (2011) 144 [arXiv:1010.5784] [INSPIRE].
S.A. Hartnoll and A. Tavanfar, Electron stars for holographic metallic criticality, Phys. Rev. D 83 (2011) 046003 [arXiv:1008.2828] [INSPIRE].
S.A. Hartnoll, D.M. Hofman and D. Vegh, Stellar spectroscopy: Fermions and holographic Lifshitz criticality, JHEP 08 (2011) 096 [arXiv:1105.3197] [INSPIRE].
M. Cubrovic, J. Zaanen and K. Schalm, String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid, Science 325 (2009) 439 [arXiv:0904.1993] [INSPIRE].
S.A. Hartnoll and P. Petrov, Electron star birth: A continuous phase transition at nonzero density, Phys. Rev. Lett. 106 (2011) 121601 [arXiv:1011.6469] [INSPIRE].
V.G.M. Puletti, S. Nowling, L. Thorlacius and T. Zingg, Holographic metals at finite temperature, JHEP 01 (2011) 117 [arXiv:1011.6261] [INSPIRE].
J.G. Gao, M. Merafina and R. Ruffini, The semidegenerate configurations of a selfgravitating system of fermions, Astron. Astrophys. 235 (1990) 1.
N. Bilic, F. Munyaneza, G.B. Tupper and R.D. Viollier, The dynamics of stars near Sgr A∗ and dark matter at the center and in the halo of the galaxy, Prog. Part. Nucl. Phys. 48 (2002) 291 [INSPIRE].
C.R. Argüelles, I. Siutsou, R. Ruffini, J.A. Rueda and B. Machado, On the core-halo constituents of a semi-degenerate gas of massive fermions, Bull. Am. Astron. Soc. 45 (2013) 302.04.
C.R. Argüelles, R. Ruffini, I. Siutsou and B.M.O. Fraga, On the distribution of dark matter in galaxies: quantum treatments, J. Korean Phys. Soc. 65 (2014) 801 [arXiv:1402.0700] [INSPIRE].
R. Ruffini, C.R. Argüelles and J.A. Rueda, On the core-halo distribution of dark matter in galaxies, Mon. Not. Roy. Astron. Soc. 451 (2015) 622 [arXiv:1409.7365] [INSPIRE].
C.R. Argüelles, N.E. Mavromatos, J.A. Rueda and R. Ruffini, The role of self-interacting right-handed neutrinos in galactic structure, JCAP 04 (2016) 038 [arXiv:1502.00136] [INSPIRE].
C.R. Argüelles, J.A. Rueda and R. Ruffini, Theoretical evidence of 50 keV fermionic dark matter from galactic observables, submitted to Phys. Dark Universe, arXiv:1606.07040 [INSPIRE].
V. Balasubramanian et al., Holographic Thermalization, Phys. Rev. D 84 (2011) 026010 [arXiv:1103.2683] [INSPIRE].
A. Giordano, N.E. Grandi and G.A. Silva, Holographic thermalization of charged operators, JHEP 05 (2015) 016 [arXiv:1412.7953] [INSPIRE].
C.R. Argüelles, R. Ruffini and B.M.O. Fraga, Critical configurations for a system of semidegenerate fermions, J. Korean Phys. Soc. 65 (2014) 809 [arXiv:1402.1329] [INSPIRE].
J.S. Schiffrin and R.M. Wald, Turning Point Instabilities for Relativistic Stars and Black Holes, Class. Quant. Grav. 31 (2014) 035024 [arXiv:1310.5117] [INSPIRE].
S.N. Solodukhin, Correlation functions of boundary field theory from bulk Green’s functions and phases in the boundary theory, Nucl. Phys. B 539 (1999) 403 [hep-th/9806004] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1712.05866
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Argüelles, C.R., Grandi, N.E. Fermionic halos at finite temperature in AdS/CFT. J. High Energ. Phys. 2018, 118 (2018). https://doi.org/10.1007/JHEP05(2018)118
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2018)118