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  • Open Access

Quantum corrections to Randall-Sundrum model from JT gravity

Ying-Jian Chen1,2,3,* and Jun Nian1

  • *Contact author: chenyingjian22@mails.ucas.ac.cn

Phys. Rev. D 113, 046011 – Published 17 February, 2026

DOI: https://doi.org/10.1103/2y2l-cbty

Abstract

We investigate quantum corrections to the Randall-Sundrum (RS) model in the near-extremal black brane background with quantum corrections in the near horizon. The near-horizon geometry is described by Jackiw-Teitelboim gravity, and the quantum fluctuations are governed by the Schwarzian action. We introduce the Schwarzian modes into the RS metric, derive the quantum-corrected equation for the Kaluza-Klein (KK) modes via the Schwinger-Dyson equation, calculate the correction to the KK mass spectrum, and discuss the impact of quantum corrections on the Goldberger-Wise mechanism. Our work introduces both quantum corrections and temperature into the RS model, providing insights into cosmology and phase transitions within it.

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References (27)

  1. V. Rubakov and M. Shaposhnikov, Do we live inside a domain wall?, Phys. Lett. 125B, 136 (1983).
  2. V. Rubakov and M. Shaposhnikov, Extra space-time dimensions: Towards a solution to the cosmological constant problem, Phys. Lett. 125B, 139 (1983).
  3. N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429, 263 (1998).
  4. L. Randall and R. Sundrum, Large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83, 3370 (1999).
  5. L. Randall and R. Sundrum, An alternative to compactification, Phys. Rev. Lett. 83, 4690 (1999).
  6. J. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38, 1113 (1999).
  7. W. Goldberger and M. Wise, Modulus stabilization with bulk fields, Phys. Rev. Lett. 83, 4922 (1999).
  8. P. Creminelli, A. Nicolis, and R. Rattazzi, Holography and the electroweak phase transition, J. High Energy Phys. 03 (2002) 051.
  9. R. K. Mishra and L. Randall, Consequences of a stabilizing field’s self-interactions for RS cosmology, J. High Energy Phys. 12 (2023) 036.
  10. D. Bunk, J. Hubisz, and B. Jain, A perturbative RS I cosmological phase transition, Eur. Phys. J. C 78, 78 (2018).
  11. R. K. Mishra and L. Randall, Phase transition to RS: Cool, not supercool, J. High Energy Phys. 06 (2024) 099.
  12. R. Jackiw, Lower dimensional gravity, Nucl. Phys. B252, 343 (1985).
  13. C. Teitelboim, Gravitation and Hamiltonian-structure in 2 spacetime dimensions, Phys. Lett. 126B, 41 (1983).
  14. L. Iliesiu, V, and G. J. Turiaci, The statistical mechanics of near-extremal black holes, J. High Energy Phys. 05 (2021) 145.
  15. J. Maldacena, D. Stanford, and Z. Yang, Conformal symmetry and its breaking in two-dimensional nearly anti–de Sitter space, Prog. Theor. Exp. Phys. 2016, 12C104 (2016).
  16. X.-L. Liu, J. Nian, and L. A. P. Zayas, Quantum corrections to holographic strange metal at low temperature, arXiv:2410.11487.
  17. A. R. Brown, L. V. Iliesiu, G. Penington, and M. Usatyuk, The evaporation of charged black holes, J. High Energy Phys. 01 (2026) 109.
  18. X.-L. Liu, C.-Y. Yue, J. Nian, and W. Zheng, Quantum-corrected holographic wilson loop expectation values and super-Yang-Mills confinement, arXiv:2412.11107.
  19. R. Emparan, Quantum cross-section of near-extremal black holes, J. High Energy Phys. 04 (2025) 122.
  20. Z. Jiang, J. Nian, C. Shao, Y. Tian, and H. Zhang, Quantum gravity corrections to the scalar quasi-normal modes in near-extremal Reissener-Nordström black holes, Phys. Rev. D 112, 126019 (2025).
  21. J. Nian, L. A. P. Zayas, and C.-Y. Yue, Quantum corrections in the low-temperature fluid/gravity correspondence, arXiv:2510.15411.
  22. L. A. P. Zayas and J. Zhang, One-loop corrected holographic shear viscosity to entropy density ratio at low temperatures, arXiv:2510.16100.
  23. S. Cremonini, L. Li, X.-L. Liu, and J. Nian, Quantum corrections to η/s from JT gravity, arXiv:2510.21602.
  24. F. J. Dyson, The S matrix in quantum electrodynamics, Phys. Rev. 75, 1736 (1949).
  25. J. Schwinger, On the Green’s functions of quantized fields. 1., Proc. Natl. Acad. Sci. U.S. A. 37, 452 (1951).
  26. J. Maldacena and D. Stanford, Remarks on the Sachdev-Ye-Kitaev model, Phys. Rev. D 94, 106002 (2016).
  27. H. Geng, A. Karch, C. Perez-Pardavila, S. Raju, L. Randall, M. Riojas, and S. Shashi, Jackiw-Teitelboim gravity from the Karch-Randall braneworld, Phys. Rev. Lett. 129, 231601 (2022).

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