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

Correlating confinement to topological fluctuations near the crossover transition in QCD

Rasmus N. Larsen1,*, Sayantan Sharma2,†, and Edward Shuryak3,‡

  • 1University of Stavanger, Stavanger 4021, Norway
  • 2The Institute of Mathematical Sciences, A CI of Homi Bhabha National Institute, Chennai 600113, India
  • 3Physics Department, Stony Brook University, Stony Brook, New York 11794, USA

  • *rasmus.n.larsen@uis.no
  • †sayantans@imsc.res.in
  • ‡edward.shuryak@stonybrook.edu

Phys. Rev. D 105, L071501 – Published 20 April, 2022

DOI: https://doi.org/10.1103/PhysRevD.105.L071501

Abstract

We show the existence of strong (anti)correlations between the topological hot spots and the local values of the trace of the Polyakov loop in 2+1 flavor QCD with physical quark mass, in the vicinity of the crossover transition corresponding to the simultaneous restoration of chiral symmetry and deconfinement. Using sophisticated lattice techniques, we have carefully identified the topological hot spots using quark zero modes and measured the short-distance fluctuations of the Polyakov loop about them, showing how the latter is repelled quite strongly around the peak of the zero modes. Though we could explain some aspects of these correlations within the instanton-dyon picture, our work sets the stage for a larger goal towards a systematic study of the role of different topological species that interact with the Polyakov loop, establishing the strong connection between topology and confinement.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (52)

  1. H. T. Ding, F. Karsch, and S. Mukherjee, Int. J. Mod. Phys. E 24, 1530007 (2015).
  2. C. Schmidt and S. Sharma, J. Phys. G 44, 104002 (2017).
  3. M. P. Lombardo and A. Trunin, Int. J. Mod. Phys. A 35, 2030010 (2020).
  4. E. V. Shuryak, Nucl. Phys. B203, 140 (1982).
  5. E. Shuryak, Nucl. Phys. A928, 138 (2014).
  6. R. Larsen and E. Shuryak, Phys. Rev. D 92, 094022 (2015).
  7. R. Larsen and E. Shuryak, Phys. Rev. D 93, 054029 (2016).
  8. A. Bazavov, N. Brambilla, H.-T. Ding, P. Petreczky, H.-P. Schadler, A. Vairo, and J. H. Weber, Phys. Rev. D 93, 114502 (2016).
  9. D. A. Clarke, O. Kaczmarek, F. Karsch, A. Lahiri, and M. Sarkar, Phys. Rev. D 103, L011501 (2021).
  10. D. DeMartini and E. Shuryak, Phys. Rev. D 104, 094031 (2021).
  11. T. Schaefer and E. V. Shuryak, Rev. Mod. Phys. 70, 323 (1998).
  12. S. Borsanyi, Z. Fodor, C. Hoelbling, S. D. Katz, S. Krieg, C. Ratti, and K. K. Szabó (Wuppertal-Budapest Collaboration), J. High Energy Phys. 09 (2010) 073.
  13. A. Bazavov et al., Phys. Rev. D 85, 054503 (2012).
  14. T. Bhattacharya et al., Phys. Rev. Lett. 113, 082001 (2014).
  15. F. Burger, E. M. Ilgenfritz, M. P. Lombardo, and A. Trunin, Phys. Rev. D 98, 094501 (2018).
  16. A. Bazavov et al. (HotQCD Collaboration), Phys. Lett. B 795, 15 (2019).
  17. A. M. Polyakov, Nucl. Phys. B120, 429 (1977).
  18. H. B. Nielsen and P. Olesen, Nucl. Phys. B61, 45 (1973).
  19. S. Mandelstam, Phys. Rep. 23, 245 (1976).
  20. M. Engelhardt, Nucl. Phys. B, Proc. Suppl. 140, 92 (2005).
  21. J. Greensite, EPJ Web Conf. 137, 01009 (2017).
  22. G. ’t Hooft, Nucl. Phys. B190, 455 (1981).
  23. M. I. Polikarpov, Nucl. Phys. B, Proc. Suppl. 53, 134 (1997).
  24. A. Di Giacomo, B. Lucini, L. Montesi, and G. Paffuti, Phys. Rev. D 61, 034503 (2000).
  25. C. Bonati, G. Cossu, M. D’Elia, and A. Di Giacomo, Phys. Rev. D 85, 065001 (2012).
  26. T. C. Kraan and P. van Baal, Phys. Lett. B 435, 389 (1998).
  27. K. M. Lee and C. h. Lu, Phys. Rev. D 58, 025011 (1998).
  28. T. C. Kraan and P. van Baal, Nucl. Phys. B533, 627 (1998).
  29. A. Gonzalez-Arroyo, P. Martinez, and A. Montero, Phys. Lett. B 359, 159 (1995).
  30. A. Gonzalez-Arroyo and P. Martinez, Nucl. Phys. B459, 337 (1996).
  31. M. Garcia Perez, A. Gonzalez-Arroyo, A. Montero, and P. van Baal, J. High Energy Phys. 06 (1999) 001.
  32. V. G. Bornyakov, E.-M. Ilgenfritz, B. V. Martemyanov, V. K. Mitrjushkin, and M. Mueller-Preussker, Phys. Rev. D 87, 114508 (2013).
  33. R. N. Larsen, S. Sharma, and E. Shuryak, Phys. Lett. B 794, 14 (2019).
  34. R. N. Larsen, S. Sharma, and E. Shuryak, Phys. Rev. D 102, 034501 (2020).
  35. D. B. Kaplan, Phys. Lett. B 288, 342 (1992).
  36. R. C. Brower, H. Neff, and K. Orginos, Comput. Phys. Commun. 220, 1 (2017).
  37. R. Narayanan and H. Neuberger, Nucl. Phys. B443, 305 (1995).
  38. H. Neuberger, Phys. Rev. Lett. 81, 4060 (1998).
  39. F. Berruto, R. Narayanan, and H. Neuberger, Phys. Lett. B 489, 243 (2000).
  40. P. Hasenfratz, V. Laliena, and F. Niedermayer, Phys. Lett. B 427, 125 (1998).
  41. K. G. Wilson, Phys. Rev. D 10, 2445 (1974).
  42. P. H. Ginsparg and K. G. Wilson, Phys. Rev. D 25, 2649 (1982).
  43. C. Gattringer, Phys. Rev. D 67, 034507 (2003).
  44. D. Diakonov, Nucl. Phys. B, Proc. Suppl. 195, 5 (2009).
  45. A. González-Arroyo, J. High Energy Phys. 02 (2020) 137.
  46. M. Garcia Perez, A. Gonzalez-Arroyo, C. Pena, and P. van Baal, Phys. Rev. D 60, 031901 (1999).
  47. M. N. Chernodub, T. C. Kraan, and P. van Baal, Nucl. Phys. B, Proc. Suppl. 83, 556 (2000).
  48. V. G. Bornyakov, E. M. Ilgenfritz, B. V. Martemyanov, and M. Muller-Preussker, Phys. Rev. D 91, 074505 (2015).
  49. V. G. Bornyakov, E.-M. Ilgenfritz, B. V. Martemyanov, and M. Muller-Preussker, Phys. Rev. D 93, 074508 (2016).
  50. V. G. Bornyakov et al., EPJ Web Conf. 137, 03002 (2017).
  51. A. Hasenfratz and F. Knechtli, Phys. Rev. D 64, 034504 (2001).
  52. M. A. Clark, R. Babich, K. Barros, R. C. Brower, and C. Rebbi, Comput. Phys. Commun. 181, 1517 (2010).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation