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Evolution of Electromagnetic Fields in a Plasma of Quarks and Gluons

Shokri, Masoud | 2019

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  1. Type of Document: Ph.D. Dissertation
  2. Language: Farsi
  3. Document No: 52331 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Sadooghi, Neda
  7. Abstract:
  8. In heavy ion collisions, extremely large electromagnetic fields are produced by fast-moving charged nucleons. They are sufficiently large to affect the low energy QCD processes and thus produce observable effects, whose occurrence is, however, directly related to the lifetime of these fields. In the present dissertation, the evolution of electromagnetic fields is studied in a plasma of quarks and gluons, by analytically solving the equations of relativistic magnetohydrodynamics (RMHD). The onideal Bjorken RMHD is solved by introducing the method of nonconserved charges. Assuming an electromagnetic force-free condition, the electric and magnetic fields are found to be either parallel or antiparallel. The overall direction of electromagnetic fields linearly changes between the flow lines. As it turns out, the rate of this linear change, or rotation, plays a dominant role in the proper time evolution of the magnetic field. The RMHD of Chern-Simons theory is then developed using the principle of general covariance. It is shown that the axion-like field generates the chiral magnetic current, as well as an anomalous Hall (AH) current. The AH current relaxes the requirement of the electromagnetic fields to be either parallel or antiparallel and also makes the magnetic field behave indistinguishably close to the ideal limit, without suppressing the electric field. In order to study the effect of the transverse expansion of the fluid, a generalization of the 3+1 self-similar and Gubser flows to RMHD is also presented. To do this, appropriate symmetry arguments are used. In order to solve the corresponding equations, it is necessary to reduce the symmetries of RH by introducing an appropriate similarity variable. In particular, for the Gubser flow, a conformal hydrodynamics approach is to be used
  9. Keywords:
  10. Quark-Gluon Plasma ; Relativistic Hydrodynamics ; Chern-Simons Gravity ; Self-Similar Solutions ; Conformal Hydrodynamics ; Conformal Magnetohydrodynamics

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