- 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
  • Letter
  • Open Access

Second-order chiral phase transition in three-flavor quantum chromodynamics?

G. Fejős*

  • Institute of Physics, Eötvös University, 1117 Budapest, Hungary

  • *gergely.fejos@ttk.elte.hu
PDF

Phys. Rev. D 105, L071506 – Published 29 April, 2022

DOI: https://doi.org/10.1103/PhysRevD.105.L071506

Abstract

We calculate the renormalization group flows of all perturbatively renormalizable interactions in the three-dimensional Ginzburg-Landau potential for the chiral phase transition of three-flavor quantum chromodynamics. On the contrary to the common belief we find a fixed point in the system that is able to describe a second-order phase transition in the infrared. This shows that long-standing assumptions on the transition order might be false. If the transition is indeed of second order, our results may hint that the axial U(1) symmetry restores at the transition temperature.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (29)

  1. R. D. Pisarski and F. Wilczek, Phys. Rev. D 29, 338 (1984).
  2. A. Butti, A. Pelissetto, and E. Vicari, J. High Energy Phys. 08 (2003) 029.
  3. K. Fukushima, K. Kamikado, and B. Klein, Phys. Rev. D 83, 116005 (2011).
  4. M. Grahl and D. H. Rischke, Phys. Rev. D 88, 056014 (2013).
  5. S. Resch, F. Rennecke, and B.-J. Schaefer, Phys. Rev. D 99, 076005 (2019).
  6. G. Fejos, Phys. Rev. D 90, 096011 (2014).
  7. A. Pelissetto and E. Vicari, Phys. Rev. D 88, 105018 (2013).
  8. M. Grahl, Phys. Rev. D 90, 117904 (2014).
  9. K. Yagi, T. Hatsuda, and Y. Miake, Quark Gluon Plasma (Cambridge University Press, Cambridge, England, 2005).
  10. F. Karsch, E. Laermann, and C. Schmidt, Phys. Lett. B 520, 41 (2001).
  11. P. de Forcrand and O. Philipsen, Nucl. Phys. B673, 170 (2003).
  12. X.-Y. Jin, Y. Kuramashi, Y. Nakamura, S. Takeda, and A. Ukawa, Phys. Rev. D 91, 014508 (2015).
  13. A. Bazavov, H. T. Ding, P. Hegde, F. Karsch, E. Laermann, S. Mukherjee, P. Petreczky, and C. Schmidt, Phys. Rev. D 95, 074505 (2017).
  14. B. Brandt, A. Francis, H. B. Meyer, O. Philipsen, D. Robaina, and H. Wittig, J. High Energy Phys. 12 (2016) 158.
  15. A. Tomiya, G. Cossu, S. Aoki, H. Fukaya, S. Hashimoto, T. Kaneko, and J. Noaki, Phys. Rev. D 96, 034509 (2017).
  16. S. Aoki, Y. Aoki, H. Fukaya, S. Hashimoto, C. Rohrhofer, and K. Suzuki, Prog. Theor. Exp. Phys. 2022, 023B05 (2022).
  17. A. Bazavov, T. Bhattacharya, M. I. Buchoff, M. Cheng, N. H. Christ, H. T. Ding et al., Phys. Rev. D 86, 094503 (2012).
  18. M. I. Buchoff, M. Cheng, N. H. Christ, H. T. Ding, C. Jung, F. Karsch et al., Phys. Rev. D 89, 054514 (2014).
  19. T. Bhattacharya, M. I. Buchoff, N. H. Christ, H. T. Ding, R. Gupta, C. Jung et al., Phys. Rev. Lett. 113, 082001 (2014).
  20. V. Dick, F. Karsch, E. Laermann, S. Mukherjee, and S. Sharma, Phys. Rev. D 91, 094504 (2015).
  21. H. T. Ding, S. T. Li, S. Mukherjee, A. Tomiya, X. D. Wang, and Y. Zhang, Phys. Rev. Lett. 126, 082001 (2021).
  22. O. Kaczmarek, L. Mazur, and S. Sharma, Phys. Rev. D 104, 094518 (2021).
  23. A. Lahiri, arXiv:2112.08164.
  24. F. Cuteri, O. Philipsen, and A. Sciarra, J. High Energy Phys. 11 (2021) 141.
  25. L. Dini, P. Hegde, F. Karsch, A. Lahiri, C. Schmidt, and S. Sharma, Phys. Rev. D 105, 034510 (2022).
  26. C. Wetterich, Phys. Lett. B 301, 90 (1993).
  27. T. R. Morris, Int. J. Mod. Phys. A 09, 2411 (1994).
  28. D. F. Litim, Phys. Rev. D 64, 105007 (2001).
  29. T. Papenbrock and C. Wetterich, Z. Phys. C 65, 519 (1995).

Outline

Information

Phys. Rev. D 105, L071506– Published 29 April, 2022
  • Received 18 January 2022
  • Accepted 18 April 2022
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