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Effects of strong magnetic field on the formation of wakes in thermal\n QCD

2019/01/11 by Mujeeb Hasan, Hasan, Mujeeb, Binoy Krishna Patra +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1901.03497

openalex publication_date 2019/01/11 · openalex created_date 2022/07/30 · openalex updated_date 2026/07/28

Abstract

We have investigated how the wakes in the induced charge density and in the\npotential due to the passage of highly energetic partons through a thermal QCD\nmedium get affected by the presence of strong magnetic field. For that purpose,\nwe wish to analyze first the dielectric responses of the medium both in\npresence and absence of strong magnetic field. We found that for slow moving\npartons, the real part of dielectric function is not affected by the magnetic\nfield whereas for fast moving partons, for small |\k|, it becomes\nvery large and approaches towards its counterpart at B=0, for large\n|\k|. On the other hand the imaginary part is decreased for both slow\nand fast moving partons, due to the fact that the imaginary contribution due to\nquark-loop vanishes. With these ingredients, we found that the oscillation in\nthe (scaled) induced charge density, due to the very fast partons becomes less\npronounced in the presence of strong magnetic field whereas for smaller parton\nvelocity, no significant change is observed. For the (scaled) wake potential\nalong the motion of fast moving partons (which is of Lennard-Jones (LJ) type),\nthe depth of negative minimum in the backward region gets reduced drastically,\nresulting in the reduction of the amplitude of oscillation. On the other hand\nin the forward region, it remains as the screened Coulomb one, except the\nscreening now becomes much stronger for higher parton velocity. Similarly for\nthe wake potential transverse to the motion of partons in both forward and\nbackward regions, the depth of LJ potential for fast moving partons gets\ndecreased severely, but still retains the forward-backward symmetry. However,\nfor lower parton velocity, the magnetic field does not affect it significantly.\n

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