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

Spatial String Tension and Its Effects on Screening Correlators in a Thermal QCD Plasma

Dibyendu Bala1, Olaf Kaczmarek1, Peter Petreczky2, Sayantan Sharma3, and Swagatam Tah3,*

  • *Contact author: swagatamt@imsc.res.in

Phys. Rev. Lett. 135, 012301 – Published 30 June, 2025

DOI: https://doi.org/10.1103/3tmf-s94w

Abstract

We calculate the spatial Wilson line correlator for 2+1 flavor QCD using highly improved staggered quark discretization for fermions and in quenched QCD for a wide range of temperatures, from the chiral crossover temperature Tpc≃156  MeV or the deconfinement temperature ≃300  MeV, respectively, up to 2 GeV. Extracting the spatial string tension for different lattice cutoffs and by performing a continuum extrapolation of this observable, we show that the soft (magnetic) gluons interact nonperturbatively even at temperatures ≳1  GeV. We provide incriminating evidences to demonstrate that dimensionally reduced effective theories can describe these soft quark and gluon quasi-particles for both quenched and 2+1 flavor QCD, at temperatures T≳5Tpc. We also show for the first time the imprints of the nonperturbative pseudopotential in the properties of mesonic screening masses for temperatures ranging from 0.8 to 164 GeV in the quark-gluon plasma.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (62)

  1. D. J. Gross, R. D. Pisarski, and L. G. Yaffe, Rev. Mod. Phys. 53, 43 (1981).
  2. E. V. Shuryak, Rev. Mod. Phys. 65, 1 (1993).
  3. G. Boyd, J. Engels, F. Karsch, E. Laermann, C. Legeland, M. Lutgemeier, and B. Petersson, Phys. Rev. Lett. 75, 4169 (1995).
  4. Y. Aoki, G. Endrodi, Z. Fodor, S. D. Katz, and K. K. Szabo, Nature (London) 443, 675 (2006).
  5. A. Francis, O. Kaczmarek, M. Laine, T. Neuhaus, and H. Ohno, Phys. Rev. D 91, 096002 (2015).
  6. A. Bazavov, H.-T. Ding, P. Hegde, O. Kaczmarek, F. Karsch, N. Karthik, E. Laermann, A. Lahiri, R. Larsen, S.-T. Li, S. Mukherjee, H. Ohno, P. Petreczky, H. Sandmeyer, C. Schmidt, S. Sharma, and P. Steinbrecher, Phys. Lett. B 795, 15 (2019).
  7. F. Burger, E.-M. Ilgenfritz, M. P. Lombardo, and A. Trunin, Phys. Rev. D 98, 094501 (2018).
  8. S. Borsanyi, Z. Fodor, J. N. Guenther, R. Kara, S. D. Katz, P. Parotto, A. Pasztor, C. Ratti, and K. K. Szabo, Phys. Rev. Lett. 125, 052001 (2020).
  9. R. V. Gavai, M. E. Jaensch, O. Kaczmarek, F. Karsch, M. Sarkar, R. Shanker, S. Sharma, S. Sharma, and T. Ueding, Phys. Rev. D 111, 034507 (2025).
  10. T. Appelquist and J. Carazzone, Phys. Rev. D 11, 2856 (1975).
  11. S. Nadkarni, Phys. Rev. D 27, 917 (1983).
  12. E. Braaten and A. Nieto, Phys. Rev. D 53, 3421 (1996).
  13. K. Kajantie, M. Laine, K. Rummukainen, and M. E. Shaposhnikov, Nucl. Phys. B503, 357 (1997).
  14. F. Karsch, M. Oevers, and P. Petreczky, Phys. Lett. B 442, 291 (1998).
  15. A. D. Linde, Phys. Lett. B 96, 289 (1980).
  16. T. Appelquist and R. D. Pisarski, Phys. Rev. D 23, 2305 (1981).
  17. E. D’Hoker, Nucl. Phys. B180, 341 (1981).
  18. M. Laine and O. Philipsen, Phys. Lett. B 459, 259 (1999).
  19. R. V. Gavai and S. Gupta, Phys. Rev. Lett. 85, 2068 (2000).
  20. B. Svetitsky and L. G. Yaffe, Nucl. Phys. B210, 423 (1982).
  21. C. Borgs, Nucl. Phys. B261, 455 (1985).
  22. E. Manousakis and J. Polonyi, Phys. Rev. Lett. 58, 847 (1987).
  23. L. Karkkainen, P. Lacock, D. E. Miller, B. Petersson, and T. Reisz, Phys. Lett. B 312, 173 (1993).
  24. G. S. Bali, J. Fingberg, U. M. Heller, F. Karsch, and K. Schilling, Phys. Rev. Lett. 71, 3059 (1993).
  25. F. Karsch, E. Laermann, and M. Lütgemeier, Phys. Lett. B 346, 94 (1995).
  26. G. Boyd, J. Engels, F. Karsch, E. Laermann, C. Legeland, M. Lutgemeier, and B. Petersson, Nucl. Phys. B469, 419 (1996).
  27. M. Cheng et al., Phys. Rev. D 78, 034506 (2008).
  28. N. Haque and M. G. Mustafa, Prog. Part. Nucl. Phys. 140, 104136 (2025).
  29. M. Laine and M. Vepsal1ainen, J. High Energy Phys. 02 (2004) 004.
  30. C. Aubin, C. Bernard, C. DeTar, J. Osborn, S. Gottlieb, E. B. Gregory, D. Toussaint, U. M. Heller, J. E. Hetrick, and R. Sugar, Phys. Rev. D 70, 094505 (2004).
  31. A. Bazavov et al., Phys. Rev. D 85, 054503 (2012).
  32. A. Bazavov et al. (HotQCD Collaboration), Phys. Rev. D 90, 094503 (2014).
  33. A. Bazavov, P. Petreczky, and J. H. Weber, Phys. Rev. D 97, 014510 (2018).
  34. N. Brambilla, R. L. Delgado, A. S. Kronfeld, V. Leino, P. Petreczky, S. Steinbeißer, A. Vairo, and J. H. Weber (TUMQCD Collaboration), Phys. Rev. D 107, 074503 (2023).
  35. M. Cheng et al., Phys. Rev. D 77, 014511 (2008).
  36. See Supplemental Material at http://link.aps.org/supplemental/10.1103/3tmf-s94w for details on the lattice techniques used to extract the spatial string tension, our matching procedure to extract the pseudopotential and the derivation of the spin dependent potential.
  37. A. Bazavov, N. Brambilla, H. T. Ding, P. Petreczky, H. P. Schadler, A. Vairo, and J. H. Weber, Phys. Rev. D 93, 114502 (2016).
  38. M. Luscher, Nucl. Phys. B180, 317 (1981).
  39. M. Luscher and P. Weisz, J. High Energy Phys. 07 (2002) 049.
  40. M. Luscher, K. Symanzik, and P. Weisz, Nucl. Phys. B173, 365 (1980).
  41. O. Alvarez, Phys. Rev. D 24, 440 (1981).
  42. M. Laine and Y. Schroder, J. High Energy Phys. 03 (2005) 067.
  43. M. J. Teper, Phys. Rev. D 59, 014512 (1998).
  44. D. Karabali, C.-j. Kim, and V. P. Nair, Phys. Lett. B 434, 103 (1998).
  45. C. DeTar and J. Kogut, Phys. Rev. Lett. 59, 399 (1987).
  46. F. Karsch, E. Laermann, S. Mukherjee, and P. Petreczky, Phys. Rev. D 85, 114501 (2012).
  47. A. Bazavov, F. Karsch, Y. Maezawa, S. Mukherjee, and P. Petreczky, Phys. Rev. D 91, 054503 (2015).
  48. P. Petreczky, S. Sharma, and J. H. Weber, Phys. Rev. D 104, 054511 (2021).
  49. P. Lowdon and O. Philipsen, J. High Energy Phys. 10 (2022) 161.
  50. D. Bala, O. Kaczmarek, P. Lowdon, O. Philipsen, and T. Ueding, J. High Energy Phys. 05 (2024) 332.
  51. B. B. Brandt, A. Francis, M. Laine, and H. B. Meyer, J. High Energy Phys. 05 (2014) 117.
  52. A. Bazavov et al., Phys. Rev. D 100, 094510 (2019).
  53. B. B. Brandt, A. Francis, H. B. Meyer, O. Philipsen, D. Robaina, and H. Wittig, J. High Energy Phys. 12 (2016) 158.
  54. M. Cheng et al., Eur. Phys. J. C 71, 1564 (2011).
  55. M. Dalla Brida, L. Giusti, T. Harris, D. Laudicina, and M. Pepe, J. High Energy Phys. 04 (2022) 034.
  56. E. Eichten and F. Feinberg, Phys. Rev. D 23, 2724 (1981).
  57. V. Koch, E. V. Shuryak, G. E. Brown, and A. D. Jackson, Phys. Rev. D 46, 3169 (1992); 47, 2157(E) (1993).
  58. L. Giusti, M. L. Paciello, C. Parrinello, S. Petrarca, and B. Taglienti, Int. J. Mod. Phys. A 16, 3487 (2001).
  59. L. Giusti, T. Harris, D. Laudicina, M. Pepe, and P. Rescigno, Phys. Lett. B 855, 138799 (2024).
  60. T. Binder, B. Blobel, J. Harz, and K. Mukaida, J. High Energy Phys. 09 (2020) 086.
  61. L. Mazur et al. (HotQCD), Comput. Phys. Commun. 300, 109164 (2024).
  62. D. Bala, O. Kaczmarek, P. Petreczky, S. Sharma, and S. Tah, Data publication for “Spatial String Tension and Its Effects on Screening Correlators in a Thermal QCD Plasma”, 10.4119/unibi/3004063.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation