- Physical Review Journals
All JournalsPhysics Magazine

Physical Review D

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Stiff equation of state for a holographic nuclear matter as instanton gas

Kazuo Ghoroku1,*, Kouji Kashiwa1,†, Yoshimasa Nakano‡, Motoi Tachibana2,§, and Fumihiko Toyoda3,∥

  • 1Fukuoka Institute of Technology, Wajiro, Fukuoka 811-0295, Japan
  • 2Department of Physics, Saga University, Saga 840-8502, Japan
  • 3Faculty of Humanity-Oriented Science and Engineering, Kinki University, Iizuka 820-8555, Japan

  • *gouroku@fit.ac.jp
  • †kashiwa@fit.ac.jp
  • ‡ynakano@kyudai.jp
  • §motoi@cc.saga-u.ac.jp
  • ∥f1toyoda@jcom.home.ne.jp
PDF

Phys. Rev. D 104, 126002 – Published 1 December, 2021

DOI: https://doi.org/10.1103/PhysRevD.104.126002

Abstract

In a holographic model, which was used to investigate the color superconducting phase of QCD, a dilute gas of instantons is introduced to study the nuclear matter. The free energy of the nuclear matter is computed as a function of the baryon chemical potential in the probe approximation. Then the equation of state is obtained at low temperature. Using the equation of state for the nuclear matter, the Tolman-Oppenheimer-Volkov equations for a cold compact star are solved. We find the mass-radius relation of the star, which is similar to the one for the quark star. This similarity implies that the instanton gas given here is a kind of self-bound matter.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (40)

  1. P. Basu, F. Nogueira, M. Rozali, J. B. Stang, and M. Van Raamsdonk, Towards a holographic model of color superconductivity, New J. Phys. 13, 055001 (2011).
  2. K. Ghoroku, K. Kashiwa, Y. Nakano, M. Tachibana, and F. Toyoda, Color superconductivity in holographic SYM theory, Phys. Rev. D 99, 106011 (2019).
  3. S. S. Gubser, Breaking an Abelian gauge symmetry near a black hole horizon, Phys. Rev. D 78, 065034 (2008).
  4. S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, Building an AdS/CFT Superconductor, Phys. Rev. Lett. 101, 031601 (2008).
  5. S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, Holographic superconductors, J. High Energy Phys. 12 (2008) 015.
  6. T. Nishioka, S. Ryu, and T. Takayanagi, Holographic superconductor/insulator transition at zero temperature, J. High Energy Phys. 03 (2010) 131.
  7. N. Iqbal, H. Liu, M. Mezei et al., Quantum phase transitions in holographic models of magnetism and superconductors, Phys. Rev. D 82, 045002 (2010).
  8. A. Chamblin, R. Emparan, C. V. Johnson, and R. C. Myers, Charged AdS black holes and catastrophic holography, Phys. Rev. D 60, 064018 (1999).
  9. K. B. Fadafan, J. C. Rojas, and N. Evans, A holographic description of colour superconductivity, Phys. Rev. D 98, 066010 (2018).
  10. C. H. Nam, A more realistic holographic model of color superconductivity with higher derivative corrections, Phys. Rev. D 104, 046006 (2021).
  11. O. Bergman, G. Lifschytz, and M. Lippert, Holographic nuclear physics, J. High Energy Phys. 11 (2007) 056.
  12. M. Rozali, H.-H. Shieh, M. Van Raamsdonk, and J. Wu, Cold nuclear matter In holographic QCD, J. High Energy Phys. 01 (2008) 053.
  13. K. Ghoroku, K. Kubo, M. Tachibana, T. Taminato, and F. Toyoda, Holographic cold nuclear matter as dilute instanton gas, Phys. Rev. D 87, 066006 (2013).
  14. T. Sakai and S. Sugimoto, Low energy hadron physics in holographic QCD, Prog. Theor. Phys. 113, 843 (2005).
  15. H. Hata, T. Sakai, S. Sugimoto, and S. Yamato, Baryons from instantons in holographic QCD, Prog. Theor. Phys. 117, 1157 (2007).
  16. F. Preis and A. Schmitt, Layers of deformed instantons in holographic baryon matter, J. High Energy Phys. 07 (2016) 001.
  17. C. Hoyos, D. R. Fernandez, N. Jokela, and A. Vuorinen, Holographic Quark Matter and Neutron Stars, Phys. Rev. Lett. 117, 032501 (2016).
  18. K. B. Fadafan, J. C.  Rojas, and N. Evans, Deconfined, massive quark phase at high density and compact stars: A holographic study, Phys. Rev. D 101, 126005 (2020).
  19. K. Bitaghsir Fadafan, J. C. Rojas, and N. Evans, Holographic quark matter with colour superconductivity and a stiff equation of state for compact stars, Phys. Rev. D 103, 026012 (2021).
  20. K. Nawa, H. Suganuma, and T. Kojo, Brane-induced Skyrmion on S3: Baryonic matter in holographic QCD, Phys. Rev. D 79, 026005 (2009).
  21. M. Rho, S. J. Sin, and I. Zahed, Dense QCD: A holographic dyonic salt, Phys. Lett. B 689, 23 (2010).
  22. F. Preis and A. Schmitt, Layers of deformed instantons in holographic baryonic matter, J. High Energy Phys. 07 (2016) 001.
  23. M. Elliot-Ripley, P. Sutcliffe, and M. Zamaklar, Phases of kinky holographic nuclear matter, J. High Energy Phys. 10 (2016) 088.
  24. T. Ishii, M. Järvinen, and G. Nijs, Cool baryon and quark matter in holographic QCD, J. High Energy Phys. 07 (2019) 003.
  25. T. Nakas and K. S. Rigatos, Dependence of inclusive jet production on the anti-kT distance parameter in pp collisions at S=13 TeV, J. High Energy Phys. 12 (2020) 157.
  26. E. Witten, Anti-de Sitter space, thermal phase transition, and confinement in gauge theories, Adv. Theor. Math. Phys. 2, 505 (1998).
  27. M. Berthelot, Sur quelques phenomenes de dilatation force des liquides, Ann. Chim. Phys. 30, 332 (1850).
  28. T. D. Cohen, S. Lawrence, and Y. Yamauchi, The thermodynamics of large-N QCD and the nature of metastable phases, Phys. Rev. C 102, 065206 (2020).
  29. P. Demorest, T. Pennucci, S. Ransom, M. Roberts, and J. Hessels, Shapiro delay measurement of a two solar mass neutron star, Nature (London) 467, 1081 (2010).
  30. J. Antoniadis, P. C. C. Freire, N. Wex, T. M. Tauris, R. S. Lynch, M. H. van Kerkwijk, M. Kramer, C. Bassa, V. S. Dhillon, and T. Driebe et al., A massive pulsar in a compact relativistic binary, Science 340, 6131 (2013).
  31. E. Annala, T. Gorda, A. Kurkela, and A. Vuorinen, Gravitational-Wave Constraints on the Neutron-Star-Matter Equation of State, Phys. Rev. Lett. 120, 172703 (2018).
  32. S. De, D. Finstad, J. M. Lattimer, D. A. Brown, E. Berger, and C. M. Biwer, Tidal Deformabilities and Radii of Neutron Stars from the Observation of GW170817, Phys. Rev. Lett. 121, 091102 (2018); Erratum, 121, 259902 (2018).
  33. I. Tews, J. Margueron, and S. Reddy, Critical examination of constraints on the equation of state of dense matter obtained from GW170817, Phys. Rev. C 98, 045804 (2018).
  34. M. Shibata, S. Fujibayashi, K. Hotokezaka, K. Kiuchi, K. Kyutoku, Y. Sekiguchi, and M. Tanaka, Modeling GW170817 based on numerical relativity and its implications, Phys. Rev. D 96, 123012 (2017).
  35. T. Kojo, QCD equations of state and speed of sound in neutron stars, AAPPS Bull. 31, 11 (2021).
  36. M. Prakash, J. R. Cooke, and J. M. Lattimer, Quark—hadron phase transition in protoneutron stars, Phys. Rev. D 52, 661 (1995).
  37. J. M. Lattimer and M. Prakash, Neutron star structure and the equation of state, Astrophys. J. 550, 426 (2001).
  38. F. Ozel, D. Psaltis, T. Guver, G. Baym, C. Heinke, and S. Guillot, The dense matter equation of state from neutron star radius and mass measurements, Astrophys. J. 820, 28 (2016).
  39. W. Weise, Dense baryonic matter and strangeness in neutron stars, J. Phys. Soc. Jpn. Conf. Proc. 26, 011002 (2019).
  40. J. Erdmenger, K. Ghoroku, and I. Kirsch, Holographic heavy-light mesons from non-Abelian DBI, J. High Energy Phys. 09 (2007) 111.

Outline

Information

Phys. Rev. D 104, 126002– Published 1 December, 2021
  • Received 4 August 2021
  • Accepted 8 November 2021
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation