- Letter
- Open Access
Correlating confinement to topological fluctuations near the crossover transition in QCD
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 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.
Physics Subject Headings (PhySH)
Article Text
References (52)
- H. T. Ding, F. Karsch, and S. Mukherjee, Int. J. Mod. Phys. E 24, 1530007 (2015).
- C. Schmidt and S. Sharma, J. Phys. G 44, 104002 (2017).
- M. P. Lombardo and A. Trunin, Int. J. Mod. Phys. A 35, 2030010 (2020).
- E. V. Shuryak, Nucl. Phys. B203, 140 (1982).
- E. Shuryak, Nucl. Phys. A928, 138 (2014).
- R. Larsen and E. Shuryak, Phys. Rev. D 92, 094022 (2015).
- R. Larsen and E. Shuryak, Phys. Rev. D 93, 054029 (2016).
- A. Bazavov, N. Brambilla, H.-T. Ding, P. Petreczky, H.-P. Schadler, A. Vairo, and J. H. Weber, Phys. Rev. D 93, 114502 (2016).
- D. A. Clarke, O. Kaczmarek, F. Karsch, A. Lahiri, and M. Sarkar, Phys. Rev. D 103, L011501 (2021).
- D. DeMartini and E. Shuryak, Phys. Rev. D 104, 094031 (2021).
- T. Schaefer and E. V. Shuryak, Rev. Mod. Phys. 70, 323 (1998).
- 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.
- A. Bazavov et al., Phys. Rev. D 85, 054503 (2012).
- T. Bhattacharya et al., Phys. Rev. Lett. 113, 082001 (2014).
- F. Burger, E. M. Ilgenfritz, M. P. Lombardo, and A. Trunin, Phys. Rev. D 98, 094501 (2018).
- A. Bazavov et al. (HotQCD Collaboration), Phys. Lett. B 795, 15 (2019).
- A. M. Polyakov, Nucl. Phys. B120, 429 (1977).
- H. B. Nielsen and P. Olesen, Nucl. Phys. B61, 45 (1973).
- S. Mandelstam, Phys. Rep. 23, 245 (1976).
- M. Engelhardt, Nucl. Phys. B, Proc. Suppl. 140, 92 (2005).
- J. Greensite, EPJ Web Conf. 137, 01009 (2017).
- G. ’t Hooft, Nucl. Phys. B190, 455 (1981).
- M. I. Polikarpov, Nucl. Phys. B, Proc. Suppl. 53, 134 (1997).
- A. Di Giacomo, B. Lucini, L. Montesi, and G. Paffuti, Phys. Rev. D 61, 034503 (2000).
- C. Bonati, G. Cossu, M. D’Elia, and A. Di Giacomo, Phys. Rev. D 85, 065001 (2012).
- T. C. Kraan and P. van Baal, Phys. Lett. B 435, 389 (1998).
- K. M. Lee and C. h. Lu, Phys. Rev. D 58, 025011 (1998).
- T. C. Kraan and P. van Baal, Nucl. Phys. B533, 627 (1998).
- A. Gonzalez-Arroyo, P. Martinez, and A. Montero, Phys. Lett. B 359, 159 (1995).
- A. Gonzalez-Arroyo and P. Martinez, Nucl. Phys. B459, 337 (1996).
- M. Garcia Perez, A. Gonzalez-Arroyo, A. Montero, and P. van Baal, J. High Energy Phys. 06 (1999) 001.
- V. G. Bornyakov, E.-M. Ilgenfritz, B. V. Martemyanov, V. K. Mitrjushkin, and M. Mueller-Preussker, Phys. Rev. D 87, 114508 (2013).
- R. N. Larsen, S. Sharma, and E. Shuryak, Phys. Lett. B 794, 14 (2019).
- R. N. Larsen, S. Sharma, and E. Shuryak, Phys. Rev. D 102, 034501 (2020).
- D. B. Kaplan, Phys. Lett. B 288, 342 (1992).
- R. C. Brower, H. Neff, and K. Orginos, Comput. Phys. Commun. 220, 1 (2017).
- R. Narayanan and H. Neuberger, Nucl. Phys. B443, 305 (1995).
- H. Neuberger, Phys. Rev. Lett. 81, 4060 (1998).
- F. Berruto, R. Narayanan, and H. Neuberger, Phys. Lett. B 489, 243 (2000).
- P. Hasenfratz, V. Laliena, and F. Niedermayer, Phys. Lett. B 427, 125 (1998).
- K. G. Wilson, Phys. Rev. D 10, 2445 (1974).
- P. H. Ginsparg and K. G. Wilson, Phys. Rev. D 25, 2649 (1982).
- C. Gattringer, Phys. Rev. D 67, 034507 (2003).
- D. Diakonov, Nucl. Phys. B, Proc. Suppl. 195, 5 (2009).
- A. González-Arroyo, J. High Energy Phys. 02 (2020) 137.
- M. Garcia Perez, A. Gonzalez-Arroyo, C. Pena, and P. van Baal, Phys. Rev. D 60, 031901 (1999).
- M. N. Chernodub, T. C. Kraan, and P. van Baal, Nucl. Phys. B, Proc. Suppl. 83, 556 (2000).
- V. G. Bornyakov, E. M. Ilgenfritz, B. V. Martemyanov, and M. Muller-Preussker, Phys. Rev. D 91, 074505 (2015).
- V. G. Bornyakov, E.-M. Ilgenfritz, B. V. Martemyanov, and M. Muller-Preussker, Phys. Rev. D 93, 074508 (2016).
- V. G. Bornyakov et al., EPJ Web Conf. 137, 03002 (2017).
- A. Hasenfratz and F. Knechtli, Phys. Rev. D 64, 034504 (2001).
- M. A. Clark, R. Babich, K. Barros, R. C. Brower, and C. Rebbi, Comput. Phys. Commun. 181, 1517 (2010).