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Color Super Counductivity at Finite Temperature, Chemical Potential and in the Presence of Strong Magnetic Fields

Fayazbakhsh, Shima | 2011

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  1. Type of Document: Ph.D. Dissertation
  2. Language: Farsi
  3. Document No: 42711 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Sadooghi, Neda
  7. Abstract:
  8. In the present thesis, the effect of external magnetic fields on two-flavor Color Superconductive (2SC) phase, as one of the phases in the QCD phase diagram, is studied. To do this, an effective two-flavor Nambu-Jona Lasinio Lagrangian is used, which consists of two mass gaps, s = ?¯qq and ? = ? . The nonzero values of chiral and color mass these gaps induce spontaneous chiral and color symmetry breaking, and consequently two different phases. There is also a third phase, the normal phase, where s = ? = 0. We calculate the transition curves and the critical points in terms of three intensive quantities, the temperature, the chemical potential and the external magnetic field. We study, in particular, the effect of a constant magnetic field on these phases and show that it is responsible for the magnetic catalysis of dynamical symmetry breaking. As a consequence of this effect the magnitude of s and ? increase with the magnetic field. Increasing the temperature and chemical potential, changes, however, the symmetry pattern and shifts the transition points to smaller values. The normal phase will then be energetically preferred and will set up. We conclude that strong magnetic fields can expand the symmetry breaking regions in the QCD phase diagram, even to larger values of temperature and chemical potential
  9. Keywords:
  10. Ionization Potential ; Normal Phase Conduction ; Quantum Chromodynamics (QCP)Plasma ; Color Superconductivity ; Effective Model ; Quark Pair ; Energy Gap ; Chiral Symmetry ; Order Parameter

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