Effect of Quark Spins to the Hadron Distributions for Chiral Magnetic Wave
in Ultrarelativistic Heavy-Ion Collisions
Byungsik Hong
Department of Physics, Korea University, Seoul 02841, Korea
The topological theory predicts that fluctuation of the gluon field in QCD modifies the vacuum structure, and causes various chiral anomalies. In the strong magnetic field generated by semi-central heavy-ion collisions at high energies, the axial and vector density fluctuations propagate along the external B-field and might generate the chiral magnetic wave. Up until now the investigation of the various chiral anomalies has used only the charge distribution. However, the present paper emphasizes that the spin distribution needs to be considered in addition. As a result,  with spin 0 are not ideal particle species to study the chiral anomalies, because the signal can be suppressed by one of the constituent (anti-)quarks coming from background. It is, therefore, necessary to analyze explicitly the vector mesons with spin 1 () and baryons with spin 3/2 (e.g., ).
J. Korean Phy. Soc. 2017; 71: 77-81  https://doi.org/10.3938/jkps.71.77
Dynamical Cluster Approximation Plus Semiclassical Approximation for a
Mott Insulator and d-Wave Pairing
SungKun Kim, Hunpyo Lee
Department of General Studies, Kangwon National University, Samcheok 25913, Korea

The solution of the doped Hubbard model on the two-dimension, which can account for the origin of high temperature superconductivity, still remains to be uncompleted, because of the computational limitation of exact numerical tools. Therefore, the development of reliable and fast numerical tools is highly desirable. Here, we developed the dynamical cluster approximation plus semiclassical approximation (DCA+SCA) tool with a cluster Nambu basis. We studied the doped two-dimensional Hubbard model via the method, and obtained a plaquette antiferromagnetic (AF) Mott insulator, a plaquette AF ordered metal, a pseudogap (or d-wave superconductor) and a paramagnetic metal by tuning the doping concentration. These features are similar to the behaviors observed in copper-oxide superconductors and are in qualitative agreement with the results calculated by the cluster dynamical mean field theory with the continuous-time quantum Monte Carlo (CDMFT+CTQMC) approach. Our approach is beyond the CDMFT+CTQMC in some ways, because the semiclassical tool can manage long-range spatial fluctuations within a feasible computational time. We believe that our future DCA+SCA calculations should supply information on the fully momentum-resolved physical properties, which could be compared with the results measured by angle-resolved photoemission spectroscopy experiments.

J. Korean Phy. Soc. 2017; 70: 1049-1053  https://doi.org/10.3938/jkps.70.1049
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