Vacuum Charge in a Magnetized and Rotating Quark Matter

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Ghoⅼaⅿi, Ⅿohaⅿⅿaⅾ Hossein | 2020

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 53261 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Sadooghi, Néda
Abstract:
In the region of intermediate densities of quark matter, the possibility of formation of inhomogeneous phases, such as dual chiral density wave phase exists. These kinds media can be formed in the heavy-ion collisions and in the core of dense stars. Since these media are rotating and magnetic, in this thesis we investigated the effects of a finite chemical potential, a rigid rotation and a constant magnetic field on the energy spectrum of dual chiral density wave in the context of Nambu-Jona-Lasino model. In the presence of magnetic fields, the energy spectrum of this system become asymmetric, and hence it gives rise to additional charge in the vacuum of the model. We have found that the chemical potential and a rigid rotation do not affect the vacuum charge. In these cases, the vacuum charge and the anomalous charge which appears in modified Maxwell equations, driven by generalized Fujikawa method, are totally equal and hence the vacuum charge is topological.
Keywords:
Nambu-Jona-Lasinio (NJL) Model ; Chiral Density Wave ; Quantum Anomaly ; Fermion Number Operator ; Dense Stars ; Quark Matter