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Electromagnetic response of a relativistic drifting plasma

Ashes Modak1,*, Anowar Shaikh2,†, Manu Kurian1,‡, Binata Panda1,§, and Sadhana Dash2,∥

  • *Contact author: 22dr0061@iitism.ac.in
  • †Contact author: 20004634@iitb.ac.in
  • ‡Contact author: manukurian@iitism.ac.in
  • §Contact author: binata@iitism.ac.in
  • ∥Contact author: sadhana@phy.iitb.ac.in
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Phys. Rev. D 114, 034048 – Published 25 August, 2026

DOI: https://doi.org/10.1103/sl21-xj4r

Abstract

We investigate the charge transport properties of a relativistic drifting plasma using the kinetic theory within the relaxation time approximation. The collective drift induced by electromagnetic fields is described in terms of a suitably modified distribution function. The analysis is done for both constant and time-dependent field configurations. For constant electromagnetic fields, we obtain the Hall drift current that arises from the transverse motion of charged particles in electric and magnetic fields. Extending the framework to time-dependent electric fields, we show that their temporal variations give rise to polarization drift, which significantly alters the structure of the induced current and introduces additional components along both the conventional drift and polarization directions. We present a quantitative estimate of the Hall drift and polarization-induced contributions in the quark-gluon plasma and study the temperature dependence of the associated charge transport coefficients in the QCD.

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References (55)

  1. D. Grasso and H. R. Rubinstein, Phys. Rep. 348, 163 (2001).
  2. M. Giovannini, Int. J. Mod. Phys. D 13, 391 (2004).
  3. D. E. Kharzeev, Annu. Rev. Nucl. Part. Sci. 65, 193 (2015).
  4. J. Charbonneau and A. Zhitnitsky, J. Cosmol. Astropart. Phys. 08 (2010) 010.
  5. A. Ohnishi and N. Yamamoto, arXiv:1402.4760.
  6. K. Tuchin, Phys. Rev. C 88, 024911 (2013).
  7. L. Yan and X.-G. Huang, Phys. Rev. D 107, 094028 (2023).
  8. S. Rath and B. K. Patra, Phys. Rev. D 100, 016009 (2019).
  9. S. Rath and B. K. Patra, Eur. Phys. J. C 80, 747 (2020).
  10. S. Rath and B. Krishna Patra, Eur. Phys. J. A 55, 220 (2019).
  11. M. Kurian, S. Mitra, S. Ghosh, and V. Chandra, Eur. Phys. J. C 79, 134 (2019).
  12. K. Hattori, S. Li, D. Satow, and H.-U. Yee, Phys. Rev. D 95, 076008 (2017).
  13. M. Kurian and V. Chandra, Phys. Rev. D 99, 116018 (2019).
  14. A. Puglisi, S. Plumari, and V. Greco, Phys. Rev. D 90, 114009 (2014).
  15. R. Ghosh and I. A. Shovkovy, Eur. Phys. J. C 84, 1179 (2024).
  16. A. Shaikh, S. Rath, S. Dash, and B. Panda, Phys. Rev. D 111, 096011 (2025).
  17. B.-f. Jiang, J. Chen, and D.-f. Hou, Phys. Rev. D 111, 036016 (2025).
  18. N. Astrakhantsev, V. V. Braguta, M. D’Elia, A. Y. Kotov, A. A. Nikolaev, and F. Sanfilippo, Phys. Rev. D 102, 054516 (2020).
  19. A. Dwibedi, A. K. Panda, S. Ghosh, and V. Roy, Phys. Rev. D 113, 014004 (2026).
  20. D. E. Kharzeev, Prog. Part. Nucl. Phys. 75, 133 (2014).
  21. D. E. Kharzeev, L. D. McLerran, and H. J. Warringa, Nucl. Phys. A803, 227 (2008).
  22. K. Fukushima, D. E. Kharzeev, and H. J. Warringa, Phys. Rev. D 78, 074033 (2008).
  23. D. Kharzeev and A. Zhitnitsky, Nucl. Phys. A797, 67 (2007).
  24. M. A. Metlitski and A. R. Zhitnitsky, Phys. Rev. D 72, 045011 (2005).
  25. K. Jensen, P. Kovtun, and A. Ritz, J. High Energy Phys. 10 (2013) 186.
  26. R. Ghosh, M. Y. Jamal, and M. Kurian, Phys. Rev. D 108, 054035 (2023).
  27. K. Tuchin, Adv. High Energy Phys. 2013, 490495 (2013).
  28. A. Bzdak and V. Skokov, Phys. Lett. B 710, 171 (2012).
  29. K. Singh, J. Dey, R. Sahoo, and S. Ghosh, Phys. Rev. D 108, 094007 (2023).
  30. J.-W. Chen, T. Ishii, S. Pu, and N. Yamamoto, Phys. Rev. D 93, 125023 (2016).
  31. B. Feng, Phys. Rev. D 96, 036009 (2017).
  32. K. K. Gowthama, M. Kurian, and V. Chandra, Phys. Rev. D 103, 074017 (2021).
  33. G. K. K, M. Kurian, and V. Chandra, Phys. Rev. D 104, 094037 (2021).
  34. S. Rath, Eur. Phys. J. A 62, 66 (2026).
  35. G. K. K, M. Kurian, and V. Chandra, Phys. Rev. D 106, 034008 (2022).
  36. M. Kurian, Phys. Rev. D 102, 014041 (2020).
  37. D. Dey and B. K. Patra, Phys. Rev. D 102, 096011 (2020).
  38. S. Rath and N. A. Neill, Phys. Rev. D 113, 076004 (2026).
  39. F. F. Chen, Introduction to Plasma Physics and Controlled Fusion, 3rd ed. (Springer International Publishing, New York, 2016).
  40. N. Krall and A. Trivelpiece, Principles of Plasma Physics (McGraw-Hill, New York, 1973).
  41. E. V. Gorbar, I. A. Shovkovy, S. Vilchinskii, I. Rudenok, A. Boyarsky, and O. Ruchayskiy, Phys. Rev. D 93, 105028 (2016).
  42. G. M. Kremer, Int. J. Geom. Methods Mod. Phys. 11, 1460005 (2014).
  43. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, 4th ed., Course of Theoretical Physics Vol. 2 (Butterworth-Heinemann, Oxford, 1979).
  44. J. Anderson and H. Witting, Physica (Amsterdam) 74, 466 (1974).
  45. A. Hosoya and K. Kajantie, Nucl. Phys. B250, 666 (1985).
  46. J. Kapusta and P. Landshoff, J. Phys. G 15, 267 (1989).
  47. A. Bazavov, N. Brambilla, X. G. i Tormo, P. Petreczky, J. Soto, and A. Vairo, Phys. Rev. D 86, 114031 (2012).
  48. J. Beringer et al. (Particle Data Group), Phys. Rev. D 86, 010001 (2012).
  49. L. McLerran and V. Skokov, Nucl. Phys. A929, 184 (2014).
  50. I. A. Shovkovy, Particles 5, 442 (2022).
  51. Z. Wang, J. Zhao, C. Greiner, Z. Xu, and P. Zhuang, Phys. Rev. C 105, L041901 (2022).
  52. E. V. Gorbar, V. A. Miransky, I. A. Shovkovy, and P. O. Sukhachov, Phys. Rev. B 95, 115202 (2017).
  53. Ö. F. Dayi and E. Kilinçarslan, Phys. Rev. D 96, 043514 (2017).
  54. I. S. Gradshteyn, I. M. Ryzhik, A. Jeffrey, and D. Zwillinger, Table of Integrals, Series, and Products, 7th ed. (Academic Press, New York, 2007).
  55. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards Applied Mathematics Series No. 55 (U.S. Government Printing Office, Washington, DC, 1964), Vol. 55.

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Phys. Rev. D 114, 034048– Published 25 August, 2026
  • Received 10 May 2026
  • Accepted 28 July 2026
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