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Effect of the Fluctuations of Quantum Chromodynamics Topological Charge on the Dispersion Relation of NJL Model

Barzegar, Amin | 2012

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 42902 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Sadooghi, Neda
  7. Abstract:
  8. One of the long-lived problems in the theory of quantum chromo dynamics is the violation of parity (P) and charge-parity (CP) symmetries in strong interactions. The existence of gluon configurations sourcing from topology leads to degeneracy in the vacuum structure of the theory. This phenomenon is realized by the addition of an extra term proportional to the parameter to QCD Lagrangian. Experimental estimates of neutron electric dipole, predicts a very small value for this parameter. There is no verified justification for this discrepancy. Recently at the relativistic heavy ion collider laboratory (RHIC) some experimental evidence has been found which indicates local CP violation in quark-gluon plasma emanating from the fluctuations of non-zero local topological charges in hot quark-gluon medium. In this thesis after a short review over CP problem, we will try to make an effective theory of strong interactions regarding the topological effects. To this end, we will make use of the auxiliary field method. By calculating the thermodynamic potential at finite temperature, we will show that the effects of the vacuum term are manifested in the condensation of particle which can be a likely signature of CP violation if non-zero
  9. Keywords:
  10. Consolidation ; Quantum Chromodynamics (QCP)Plasma ; Charge-Parity (CP)Violation ; Topological Charge ; Auxiliary Field

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