EFFECT OF COLOR RANDOMIZATION ON pT BROADENING OF FAST PARTONS IN TURBULENT QUARK-GLUON PLASMA
- Authors: Zakharov B.G.1
-
Affiliations:
- L.D. Landau Institute for Theoretical Physics of the Russian Academy of Sciences
- Issue: Vol 166, No 2(8) (2024)
- Pages: 216–231
- Section: Articles
- URL: https://journals.rcsi.science/0044-4510/article/view/261686
- DOI: https://doi.org/10.31857/S0044451024080078
- ID: 261686
Cite item
Abstract
We analyze the effect of the parton color randomization on pT broadening in the quark-gluon plasma with turbulent color fields. We calculate the transport coefficient for a simplified model of fluctuating color fields in the form of alternating sequential transverse layers with homogenous transverse chromomagnetic fields with random orientation in the SU(3) group and gaussian distribution in the magnitude. Our numerical results show that the color randomization can lead to a sizable reduction of the turbulent contribution to ˆq. The magnitude of the effect grows with increasing ratio of the electric and magnetic screening masses.
About the authors
B. G. Zakharov
L.D. Landau Institute for Theoretical Physics of the Russian Academy of Sciences
Author for correspondence.
Email: bgz@itp.ac.ru
Moscow, Russia
References
- R. Derradi de Souza, T. Koide, and T. Kodama, Prog. Part. Nucl. Phys. 86, 35 (2016) [arXiv:1506.03863].
- P. Romatschke and U. Romatschke, Relativistic Fluid Dynamics In and Out of Equilibrium, Cambridge Monographs on Mathematical Physics, Cambridge University Press, (2019), ISBN: 978-1-108-48368-1, 978-1-108-75002-8, doi: 10.1017/9781108651998 [arXiv:1712.05815].
- U. Heinz and R. Snellings, Ann. Rev. Nucl. Part. Sci. 63, 123 (2013) doi: 10.1146/annurev-nucl102212-170540 [arXiv:1301.2826].
- P. Kovtun, D.T. Son, and A. O. Starinets, Phys. Rev. Lett. 94, 111601 (2005) [hepth/0405231].
- H. Song, S. A. Bass, U. Heinz, and T. Hirano, Phys. Rev. C 83, 054910 (2011) , Erratum: Phys. Rev. C 86, 059903 (2012) doi: 10.1103/PhysRevC.86.059903, 10.1103/PhysRevC.83.054910 [arXiv:1101.4638].
- P. B. Arnold, G. D. Moore, and L. G. Yaffe, JHEP 11, 001 (2000) [hep-ph/0010177].
- Molnar and M. Gyulassy, Nucl. Phys. A697, 495 (2002), Nucl. Phys. A703, 893 (2002) (erratum) [nucl-th/0104073].
- P. B. Arnold, G. D. Moore, and L. G. Yaffe, JHEP 05, 051 (2003) [hep-ph/0302165].
- J. Ghiglieri, G. D. Moore, and D. Teaney, JHEP 03, 179 (2018) [arXiv:1802.09535].
- S. Caron-Huot, Phys. Rev. D 79, 065039 (2009) [arXiv:0811.1603].
- Z. Xu and C. Greiner, Phys. Rev. Lett. 100, 172301 (2008) [arXiv:0710.5719].
- Z. Xu and C. Greiner, Phys. Rev. C 71, 064901 (2005) [hep-ph/0406278].
- R. Baier, A.H. Mueller, D. Schiff, and D.T. Son, Phys. Lett. B 502, 51 (2001) [hep-ph/0009237].
- P. B. Arnold, J. Lenaghan, and G. D. Moore, JHEP 08, 002 (2003) [hep-ph/0307325].
- S. Mrowczynski, Acta Phys. Polon. B 37, 427 (2006) [hep-ph/0511052].
- P. Romatschke and M. Strickland, Phys. Rev. D 68, 036004 (2003) [hep-ph/0304092].
- S. Mrowczyński, Phys. Lett. B 214 587 (1988); ibid. B 393, 26 (1997); Phys. Rev. C 49, 2191 (1994).
- S. Weibel, Phys. Rev. Lett. 2, 83 (1959).
- P. B. Arnold and G. D. Moore, Phys. Rev. D 76, 045009 (2007) [arXiv:0706.0490].
- P. Arnold and G. D. Moore, Phys. Rev. D 73, 025006 (2006) [hep-ph/0509206].
- M. Asakawa, S. A. Bass, and B. Muller, Phys. Rev. Lett. 96, 252301 (2006) [hep-ph/0603092].
- M. Asakawa, S. A. Bass, and B. Muller, Prog. Theor. Phys. 116, 725 (2007) [hep-ph/0608270].
- Majumder, B. Muller, and X.-N. Wang, Phys. Rev. Lett. 99, 192301 (2007) [hep-ph/0703082].
- Muller and D.-L. Yang, Acta Phys. Polon. Supp. 16, 37 (2023) [arXiv:2207.14504].
- S. Mrowczynski, B. Schenke, and M. Strickland, Phys. Rept. 682, 1 (2017) [arXiv:1603.08946].
- Dremin, M. Kirakosyan, and A. Leonidov, Adv. High Energy Phys. 2013, 706521 (2013) [arXiv:1305.3812].
- R. Baier, Y. L. Dokshitzer, A. H. Mueller, S. Peigne, and D. Schiff, Nucl. Phys. B 484, 265 (1997) [hep-ph/9608322].
- Reif, Fundamentals of Statistical and Thermal Physics, McGraw-Hill (1965).
- P. Danielewicz and M. Gyulassy, Phys. Rev. D 31, 53 (1985).
- B. Muller, Phys. Rev. D 104, L071501 (2021) [arXiv:2107.14775].
- B. G. Zakharov, JETP Lett. 88, 475 (2008) [arXiv:0809.0599].
- M. E. Carrington, S. Mrowczynski, and B. Schenke, Phys. Rev. C 95, 024906 (2017) [arXiv:1607.02359].
- S. K. Wong, Nuovo Cim. A 65, 689 (1970).
- Ipp, D. I. Muller, and D. Schuh, Phys. Rev. D 102, 074001 (2020) [arXiv:2001.10001].
- G. Zakharov, Sov. J. Nucl. Phys. 46, 92 (1987).
- G. Zakharov, JETP Lett. 63, 952 (1996) [hep-ph/9607440]; ibid. 65, 615 (1997) [hepph/9704255]; ibid. 70, 176 (1999) [hepph/9906536]; Phys. Atom. Nucl. 61, 838 (1998) [hep-ph/9807540].
- R. P. Feynman and A. R. Hibbs, it Quantum Mechanics and Path Integrals, McGRAW–HILL Book Company, New York (1965).
- Y. Aharonov and D. Bohm, Phys. Rev. 115, 485 (1959).
- Liu, K. Rajagopal, and U. A. Wiedemann, Phys. Rev. Lett. 97, 182301 (2006) [hepph/0605178].
- Liu, K. Rajagopal, and U. A. Wiedemann, JHEP 03, 066 (2007) [hep-ph/0612168].
- Ya. Aref’eva, Theor.Math. Phys. 43, 353 (1980).
- N. E. Bralić, Phys. Rev. D 22, 3090 (1980).
- P. M. Fishbane, S. Gasiorowicz, and P. Kaus, Phys. Rev. D 24, 2324 (1981).
- Yu. A. Simonov, Sov. J. Nucl. Phys. 50, 134 (1989) [Yad. Fiz. 50, 213 (1989)].
- M. Gyulassy and X. N. Wang, Nucl. Phys. B 420, 583 (1994) doi: 10.1016/0550-3213(94)90079-5 [nucl-th/9306003].
- M. H. Thoma, Rev. Mod. Phys. 81, 959 (2009) [arXiv:0801.0956].
- E. Braaten and R. D. Pisarski, Nucl. Phys. B 337, 569 (1990); B 339, 310 (1990); J. Frenkel, J. C. Taylor, Nucl. Phys. B 334, 199 (1990); Nucl. Phys. B 374, 156 (1992).
- P. Aurenche, F. Gelis and H. Zaraket, JHEP 0205, 043 (2002) [hep-ph/0204146].
- V. Selikhov and M. Gyulassy, Phys. Lett. B 316, 373 (1993) [nucl-th/9307007].
- D. J. Gross, R. D. Pisarski, and L. G. Yaffe, Rev. Mod. Phys. 53, 13 (1981).
- Y. Maezawa et al. [WHOT-QCD Collaboration], Phys. Rev. D 81, 091501 (2010) [arXiv:1003.1361].
- Nakamura, T. Saito, and S. Sakai, Phys. Rev. D 69, 014506 (2004) [hep-lat/0311024].
- Bazavov et al., Phys. Rev. D 98, 054511 (2018) doi: 10.1103/PhysRevD.98.054511 [arXiv:1804.10600].