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Confinement-Higgs and deconfinement-Higgs transitions in four-dimensional SU(2) LGT at finite temperature

B. Allés*

O. Borisenko†

A. Papa‡

  • *Contact author: alles@pi.infn.it
  • †Contact author: oleg@bitp.kyiv.ua
  • ‡Contact author: papa@fis.unical.it
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Phys. Rev. D 112, 094509 – Published 20 November, 2025

DOI: https://doi.org/10.1103/lc25-df82

Abstract

We reexamine by numerical simulation the phase structure of the (3+1)-dimensional SU(2) lattice gauge theory with gauge fields coupled to Higgs fields at finite temperature. Concretely, we explore two different order parameters, which are able to distinguish the three phases of the theory: (i) the Fredenhagen-Marcu operator used to discriminate between deconfinement and confinement/Higgs phases and (ii) the Greensite-Matsuyama overlap operator proposed recently to distinguish confinement and Higgs phases.

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References (23)

  1. C. Bonati, A. Pelissetto, and E. Vicari, Phys. Rep. 1133, 1 (2025).
  2. C. Bonati, G. Cossu, M. D’Elia, and A. Di Giacomo, Nucl. Phys. B828, 390 (2010).
  3. K. Osterwalder and E. Seiler, Ann. Phys. (N.Y.) 110, 440 (1978).
  4. E. H. Fradkin and S. H. Shenker, Phys. Rev. D 19, 3682 (1979).
  5. J. Frohlich, G. Morchio, and F. Strocchi, Nucl. Phys. B190, 553 (1981).
  6. J. Greensite and K. Matsuyama, Phys. Rev. D 96, 094510 (2017).
  7. S. F. Edwards and P. W. Anderson, J. Phys. F 5, 965 (1975).
  8. J. Greensite and K. Matsuyama, Phys. Rev. D 98, 074504 (2018).
  9. J. Greensite and K. Matsuyama, Phys. Rev. D 101, 054508 (2020).
  10. J. Greensite and K. Matsuyama, Symmetry 14, 177 (2022).
  11. J. Greensite, Proc. Sci., QCHSC24 (2025) 038 [arXiv:2501.14127].
  12. D. Ward, Phys. Rev. D 105, 034516 (2022).
  13. B. Allés, O. Borisenko, and A. Papa, Phys. Rev. D 111, 014509 (2025).
  14. G. Baranka and M. Giordano, Phys. Rev. D 108, 114508 (2023).
  15. B. A. Berg and D. A. Clarke, Phys. Rev. D 95, 094508 (2017).
  16. K. Fredenhagen and M. Marcu, Phys. Rev. Lett. 56, 223 (1986).
  17. J. C. A. Barata, Commun. Math. Phys. 129, 511 (1990).
  18. M. P. Forsström, Electron. J. Probab. 29, 1 (2024).
  19. T. T. Filk, M. Marcu, and K. Fredenhagen, Phys. Lett. 169B, 405 (1986).
  20. C. Borgs and E. Seiler, Commun. Math. Phys. 91, 329 (1983).
  21. M. Creutz, Phys. Rev. D 21, 2308 (1980).
  22. F. R. Brown and T. J. Woch, Phys. Rev. Lett. 58, 2394 (1987); M. Creutz, Phys. Rev. D 36, 515 (1987).
  23. E. Marinari and G. Parisi, Europhys. Lett., 19, 451 (1992); K. Hukushima and K. Nemoto, J. Phys. Soc. Jpn. 65, 1604 (1996).

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Phys. Rev. D 112, 094509– Published 20 November, 2025
  • Received 3 October 2025
  • Accepted 5 November 2025
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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.

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