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

Exact renormalization group evolution of the inflation dynamics: Reconciling α attractors with ACT

Jean Alexandre1,*, Lucien Heurtier1,†, and Silvia Pla2,‡

  • *Contact author: jean.alexandre@kcl.ac.uk
  • †Contact author: lucien.heurtier@kcl.ac.uk
  • ‡Contact author: silvia.pla-garcia@tum.de

Phys. Rev. D 114, 083512 – Published 7 October, 2026

DOI: https://doi.org/10.1103/8nxm-tt4b

Abstract

We present a nonperturbative framework for the dynamics of slow-roll inflation that consistently incorporates quantum corrections, based on an alternative functional renormalization group (RG) approach. We derive the coupled Friedmann-RG flow equations governing the joint evolution of spacetime, the inflaton field, and its effective potential. Applying this formalism to α-attractor E-models, we find that the RG flow induces a dynamical destabilization of the inflationary trajectory, leading to a premature termination of slow roll. Remarkably, the resulting predictions bring α attractors into full agreement with the latest Atacama Cosmology Telescope data without introducing new physics beyond a consistent quantum-corrected treatment of the inflaton dynamics.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (95)

  1. A. H. Guth, Phys. Rev. D 23, 347 (1981).
  2. A. A. Starobinsky, Phys. Lett. 91B, 99 (1980).
  3. A. D. Linde, Phys. Lett. 108B, 389 (1982).
  4. D. Baumann, Cosmology (Cambridge University Press, Cambridge, England, 2022).
  5. E. Komatsu et al. (WMAP Collaboration), Astrophys. J. Suppl. Ser. 192, 18 (2011).
  6. N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A6 (2020); 652, C4(E) (2021).
  7. P. A. R. Ade et al. (BICEP, Keck Collaborations), Phys. Rev. Lett. 127, 151301 (2021).
  8. R. Kallosh, A. Linde, and D. Roest, J. High Energy Phys. 11 (2013) 198.
  9. R. Kallosh, A. Linde, and D. Roest, J. High Energy Phys. 08 (2014) 052.
  10. R. Kallosh and A. Linde, J. Cosmol. Astropart. Phys. 10 (2013) 033.
  11. T. Louis et al. (ACT Collaboration), J. Cosmol. Astropart. Phys. 11 (2025) 062.
  12. E. Camphuis et al. (SPT-3G Collaboration), Phys. Rev. D 113, 083504 (2026).
  13. M. Fairbairn, L. Heurtier, and M. O. Olea-Romacho, Phys. Rev. D 114, 043507 (2026).
  14. J. Ellis, M. A. G. Garcia, K. A. Olive, and S. Verner, Phys. Rev. D 113, 063571 (2026).
  15. M. Drees and Y. Xu, Phys. Lett. B 867, 139612 (2025).
  16. A. Berera, S. Brahma, Z. Qiu, R. O. Ramos, and G. S. Rodrigues, J. Cosmol. Astropart. Phys. 11 (2025) 059.
  17. C. Pallis, Phys. Lett. B 868, 139739 (2025).
  18. W. J. Wolf, J. Cosmol. Astropart. Phys. 02 (2026) 088.
  19. A. Addazi, Y. Aldabergenov, and S. V. Ketov, Phys. Lett. B 869, 139883 (2025).
  20. L. Liu, Z. Yi, and Y. Gong, Sci. China Phys. Mech. Astron. 69, 280413 (2026).
  21. S. Maity, Phys. Lett. B 870, 139913 (2025).
  22. Q. Gao, Y. Gong, Z. Yi, and F. Zhang, Phys. Dark Universe 50, 102106 (2025).
  23. J. Yuennan, F. Atamurotov, and P. Channuie, Phys. Lett. B 871, 139958 (2025).
  24. J. McDonald, J. Cosmol. Astropart. Phys. 09 (2026) 004.
  25. E. Broadberry, A. Hook, and S. Mondal, J. High Energy Phys. 08 (2026) 072.
  26. S. Aoki, H. Otsuka, and R. Yanagita, J. Cosmol. Astropart. Phys. 11 (2025) 088.
  27. Z.-Y. Peng and Y.-S. Piao, Phys. Rev. D 113, 023544 (2026).
  28. M. R. Haque, S. Pal, and D. Paul, Phys. Rev. D 114, 023521 (2026).
  29. M. R. Haque, S. Pal, and D. Paul, Phys. Lett. B 869, 139852 (2025).
  30. W. Yin, J. Cosmol. Astropart. Phys. 09 (2025) 062.
  31. W. Yin, J. Cosmol. Astropart. Phys. 05 (2024) 060.
  32. R. Mondal, S. Mondal, and A. Chakraborty, J. Cosmol. Astropart. Phys. 05 (2026) 097.
  33. A. Chakraborty, D. Maity, and R. Mondal, Phys. Rev. D 112, 123547 (2025).
  34. A. Chakraborty, M. R. Haque, D. Maity, and R. Mondal, Phys. Rev. D 108, 023515 (2023).
  35. S. Aoki, H. Otsuka, and R. Yanagita, Phys. Rev. D 112, 043505 (2025).
  36. A. Mohammadi, Yogesh, and A. Wang, Phys. Lett. B 872, 140054 (2026).
  37. Yogesh, A. Mohammadi, Q. Wu, and T. Zhu, J. Cosmol. Astropart. Phys. 10 (2025) 010.
  38. S. D. Odintsov and V. K. Oikonomou, Phys. Lett. B 870, 139907 (2025).
  39. S. D. Odintsov and V. K. Oikonomou, Phys. Lett. B 870, 139909 (2025).
  40. S. D. Odintsov and T. Paul, Phys. Lett. B 870, 139930 (2025).
  41. S. D. Odintsov and V. K. Oikonomou, Phys. Lett. B 868, 139779 (2025).
  42. S. D’Onofrio, S. Odintsov, and T. Paul, Phys. Rev. D 113, 043527 (2026).
  43. I. D. Gialamas, T. Katsoulas, and K. Tamvakis, J. Cosmol. Astropart. Phys. 09 (2025) 060.
  44. G. Kouniatalis, arXiv:2510.04775.
  45. G. Kouniatalis and E. N. Saridakis, J. Cosmol. Astropart. Phys. 11, 038 (2025).
  46. I. D. Gialamas, A. Karam, A. Racioppi, and M. Raidal, Phys. Rev. D 112, 103544 (2025).
  47. E. Calabrese et al. (ACT Collaboration), J. Cosmol. Astropart. Phys. 11 (2025) 063.
  48. Z. Yi, X. Wang, Q. Gao, and Y. Gong, Phys. Lett. B 871, 140002 (2025).
  49. H. Heidarian, M. Solbi, S. Heydari, and K. Karami, Phys. Lett. B 869, 139833 (2025).
  50. D. Chakraborty and S. Das, Phys. Rev. D 112, 063535 (2025).
  51. D. Frolovsky and S. Ketov, Phys. Rev. D 111, 083533 (2025).
  52. J. Ellis, T. Gherghetta, K. Kaneta, W. Ke, and K. A. Olive, Phys. Rev. D 112, 123530 (2025).
  53. A. Albrecht and P. J. Steinhardt, Phys. Rev. Lett. 48, 1220 (1982).
  54. G. R. Dvali, Q. Shafi, and R. K. Schaefer, Phys. Rev. Lett. 73, 1886 (1994).
  55. E. D. Stewart, Phys. Lett. B 391, 34 (1997).
  56. L. Covi and D. H. Lyth, Phys. Rev. D 59, 063515 (1999).
  57. L. Covi, D. H. Lyth, A. Melchiorri, C. Odman, and C. Baccigalupi, Phys. Rev. D 70, 123521 (2004).
  58. Q. Shafi and A. Vilenkin, Phys. Rev. D 29, 1870 (1984).
  59. N. Okada, M. U. Rehman, and Q. Shafi, Phys. Lett. B 701, 520 (2011).
  60. G. Barenboim, E. J. Chun, and H. M. Lee, Phys. Lett. B 730, 81 (2014).
  61. G. Ballesteros and C. Tamarit, J. High Energy Phys. 02 (2016) 153.
  62. L. Heurtier and F. Huang, Phys. Rev. D 100, 043507 (2019).
  63. C. Wetterich, Nucl. Phys. B352, 529 (1991).
  64. C. Wetterich, Phys. Lett. B 301, 90 (1993).
  65. C. Wetterich, Int. J. Mod. Phys. A 16, 1951 (2001).
  66. J. Serreau, Phys. Lett. B 730, 271 (2014).
  67. M. Guilleux and J. Serreau, Phys. Rev. D 92, 084010 (2015).
  68. M. Guilleux and J. Serreau, Phys. Rev. D 95, 045003 (2017).
  69. A. Kaya, Phys. Rev. D 87, 123501 (2013).
  70. R. Banerjee and M. Niedermaier, Nucl. Phys. B980, 115814 (2022).
  71. G. Moreau and J. Serreau, Phys. Rev. D 99, 025011 (2019).
  72. E. A. Calzetta, B. L. Hu, and F. D. Mazzitelli, Phys. Rep. 352, 459 (2001).
  73. D. Boyanovsky, H. J. de Vega, and N. G. Sanchez, Nucl. Phys. B747, 25 (2006).
  74. T. Prokopec and G. Rigopoulos, J. Cosmol. Astropart. Phys. 08 (2018) 013.
  75. J. Alexandre, L. Heurtier, and S. Pla, arXiv:2608.23676.
  76. D. F. Litim, Phys. Rev. D 64, 105007 (2001).
  77. R. Kallosh and A. Linde, J. Cosmol. Astropart. Phys. 07 (2013) 002.
  78. E. Cremmer, J. Scherk, and S. Ferrara, Phys. Lett. 74B, 61 (1978).
  79. E. Bergshoeff, M. de Roo, and B. de Wit, Nucl. Phys. B182, 173 (1981).
  80. M. de Roo, Nucl. Phys. B255, 515 (1985).
  81. S. Ferrara, R. Kallosh, and A. Van Proeyen, Phys. Rev. D 87, 025004 (2013).
  82. A. S. Goncharov and A. D. Linde, Zh. Eksp. Teor. Fiz. 86, 1594 (1984) [Sov. Phys. JETP 59, 930 (1984)].
  83. A. B. Goncharov and A. D. Linde, Phys. Lett. 139B, 27 (1984).
  84. A. Linde, J. Cosmol. Astropart. Phys. 02 (2015) 030.
  85. K. Enqvist, S. Nurmi, and G. Rigopoulos, J. Cosmol. Astropart. Phys. 02 (2014) 024.
  86. J. Serreau and C. Moreau, Acta Phys. Pol. B 50, 885 (2019).
  87. L. Senatore and M. Zaldarriaga, J. High Energy Phys. 01 (2013) 109.
  88. L. Tan, N. C. Tsamis, and R. P. Woodard, Phil. Trans. R. Soc. A 380, 20210187 (2022).
  89. S. B. Giddings and M. S. Sloth, Phys. Rev. D 84, 063528 (2011).
  90. S. Abel and L. Heurtier, J. High Energy Phys. 08 (2025) 198.
  91. I. G. Marian, N. Defenu, U. D. Jentschura, A. Trombettoni, and I. Nandori, J. Cosmol. Astropart. Phys. 06 (2020) 028.
  92. J. S. Schwinger, J. Math. Phys. (N.Y.) 2, 407 (1961).
  93. L. V. Keldysh, Sov. Phys. JETP 20, 1018 (1965).
  94. E. Calzetta and B. L. Hu, Phys. Rev. D 35, 495 (1987).
  95. S. A. Salcedo, T. Colas, and E. Pajer, J. High Energy Phys. 10 (2024) 248.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation