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

Chiral symmetry restoration for helical magnetic fields in holography

Nick Evans* and Wanxiang Fan†

  • School of Physics and Astronomy and STAG Research Centre, University of Southampton, Highfield, Southampton SO17 1BJ, United Kingdom

  • *Contact author: n.j.evans@soton.ac.uk
  • †Contact author: w.fan@soton.ac.uk

Phys. Rev. D 112, 126005 – Published 5 December, 2025

DOI: https://doi.org/10.1103/pg5m-8kmg

Abstract

We study the chiral symmetry breaking effects of helical magnetic fields in a simple bottom up AdS/CFT model. We explore the instability of the chirally symmetric solution in the presence of the B field and see how it switches off as the wave vector of the helix, k, rises, resulting in a first order transition. At low energies the model averages over the helix and the magnetic field is not seen. We show that other sources of chiral symmetry breaking are not directly affected by the helical B field. We provide examples of both magnetic catalysis and inverse magnetic catalysis which switch off at large k.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (23)

  1. V. A. Miransky and I. A. Shovkovy, Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals, Phys. Rep. 576, 1 (2015).
  2. V. G. Filev, C. V. Johnson, R. C. Rashkov, and K. S. Viswanathan, Flavoured large N gauge theory in an external magnetic field, J. High Energy Phys. 10 (2007) 019.
  3. G. S. Bali, F. Bruckmann, G. Endrodi, Z. Fodor, S. D. Katz, S. Krieg, A. Schafer, and K. K. Szabo, The QCD phase diagram for external magnetic fields, J. High Energy Phys. 02 (2012) 044.
  4. G. S. Bali, F. Bruckmann, G. Endrodi, Z. Fodor, S. D. Katz, and A. Schafer, QCD quark condensate in external magnetic fields, Phys. Rev. D 86, 071502 (2012).
  5. G. Endrodi, Critical point in the QCD phase diagram for extremely strong background magnetic fields, J. High Energy Phys. 07 (2015) 173.
  6. V. Skokov, A. Y. Illarionov, and V. Toneev, Estimate of the magnetic field strength in heavy-ion collisions, Int. J. Mod. Phys. A 24, 5925 (2009).
  7. V. Voronyuk, V. D. Toneev, W. Cassing, E. L. Bratkovskaya, V. P. Konchakovski, and S. A. Voloshin, (Electro-)magnetic field evolution in relativistic heavy-ion collisions, Phys. Rev. C 83, 054911 (2011).
  8. A. Bzdak and V. Skokov, Event-by-event fluctuations of magnetic and electric fields in heavy ion collisions, Phys. Lett. B 710, 171 (2012).
  9. W.-T. Deng and X.-G. Huang, Event-by-event generation of electromagnetic fields in heavy-ion collisions, Phys. Rev. C 85, 044907 (2012).
  10. M. Berenguer, J. Mas, M. Matsumoto, K. Murata, and A. V. Ramallo, Chiral symmetry breaking and restoration by helical magnetic fields in AdS/CFT, J. High Energy Phys. 05 (2025) 048.
  11. A. Karch and E. Katz, Adding flavor to AdS/CFT, J. High Energy Phys. 06 (2002) 043.
  12. M. Kruczenski, D. Mateos, R. C. Myers, and D. J. Winters, Meson spectroscopy in AdS/CFT with flavor, J. High Energy Phys. 07 (2003) 049.
  13. J. Erdmenger, N. Evans, I. Kirsch, and E. Threlfall, Mesons in gauge/gravity duals—a review, Eur. Phys. J. A 35, 81 (2008).
  14. J. Babington, J. Erdmenger, N. J. Evans, Z. Guralnik, and I. Kirsch, Chiral symmetry breaking and pions in nonsupersymmetric gauge/gravity duals, Phys. Rev. D 69, 066007 (2004).
  15. D. Mateos, R. C. Myers, and R. M. Thomson, Holographic phase transitions with fundamental matter, Phys. Rev. Lett. 97, 091601 (2006).
  16. S. Kobayashi, D. Mateos, S. Matsuura, R. C. Myers, and R. M. Thomson, Holographic phase transitions at finite baryon density, J. High Energy Phys. 02 (2007) 016.
  17. N. Evans, C. Miller, and M. Scott, Inverse magnetic catalysis in bottom-up holographic QCD, Phys. Rev. D 94, 074034 (2016).
  18. J. M. Maldacena, The large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2, 231 (1998).
  19. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2, 253 (1998).
  20. G. Endrodi, QCD with background electromagnetic fields on the lattice: A review, Prog. Part. Nucl. Phys. 141, 104153 (2025).
  21. J. Erdmenger, N. Evans, and M. Scott, Meson spectra of asymptotically free gauge theories from holography, Phys. Rev. D 91, 085004 (2015).
  22. T. Alho, N. Evans, and K. Tuominen, Dynamic AdS/QCD and the spectrum of walking gauge theories, Phys. Rev. D 88, 105016 (2013).
  23. Mathematica codes for the work here are available at https://eprints.soton.ac.uk/506704/.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation