1.) Apply AdS/CFT correspondence to study properties of QGP at temperatures higher than 175 MeV which is the phase transition temperature from the confined phase of quarks and gluons within hadrons to the deconfined phase of quark-gluon plasma. Calculate transport coefficients of the quark-gluon plasma using dual string theory in various models.
2.) Study properties of nuclear matter under extreme conditions e.g. when the density is extremely large inside neutron stars by using AdS/CFT correspondence.
3.) Study properties of gauge theory and gravity theory from the viewpoint of the AdS/CFT
correspondence. Study possibly new interaction from the duality of open and closed string interaction.
4.) Study properties of pomeron in the strong interaction by using string theory. Compare the results with the pomeron from S-matrix theory and the pomeron from the Quantum Chromodynamics (QCD).
5.) Investigate gravitational collapse of an AdS star under strong magnetic field at high temperature.
Map out the properties of the dual nuclear matter using the holographic principle and the AdS/CFT
correspondence. Since the gravitational collapse of an AdS star to form a black hole is dual to the
deconfinement transition from ordinary hadronic nuclear phase to a quark-gluon plasma, the study of the collapse in the AdS space could shed light on the detailed process of the deconfinement.
1.)-5.) above are the basic research investigated in the research project MRG5180227, RMU5380048 and continuing to the current research proposal as of August 28, 2013. The unexplored topics will be carried on and investigated subsequently in this project.
6.) Study chiral symmetry breaking in nonlocal Nambu-Jona-Lasinio model at one and two loop level, as well as the phase structure at finite temperature and chemical potential.
7.) Study quasi-normal modes of black holes and apply the holographic principle to predict certain
behavior of the nuclear matter in the QGP from the information of the quasi-normal modes.
8.) Study the applications of the holographic duality and the AdS/CFT correspondence in condensed matter physics.
