"Recently, it is found that triangle anomalies manifest themselves in macroscopic transport effects. For example, a chirality asymmetry in the presence of a magnetic field generates an electric current along the magnetic field. This is called the Chiral Magnetic Effect (CME). Experimentally, STAR[1] and PHENIX [2] at the Relativistic Heavy Ion Collider and ALICE[3] from the Large Hadron Collider reported experimental observation of charge-dependent fluctuations that are expected from the CME, although the interpretation is still under debate. The main difficulty is that there has been no calculations from anomalous hydrodynamics that can be compared to the experimental results. In order to do this, event-by-event simulations are necessary, because the initial chiral-charge distributions are random and the measured quantities involve multi-particle correlations.
For the purpose of establishing whether the observed effect is coming from anomalous transport quantitatively, we develop a numerical code for 3+1 dimensional anomalous hydrodynamic simulations on an event-by-event basis[4]. We develop a model of the initial condition that captures the statistical nature of random chiral-charge distributions, and we perform simulations for hundreds of thousands of events. We then calculate the correlation functions that are measured in experiments, and discuss how the anomalous transports affect the observables.
[1] B. I. Abelev et al. [STAR Collaboration], Phys. Rev. Lett. 103, 251601 (2009); B. I. Abelev et al. [STAR Collaboration], Phys. Rev. C 81, 054908 (2010).
[2] A. Ajitanand, S. Esumi, R. Lacey [PHENIX Collaboration], Proc. of the RBRC Workshops, vol. 96, 2010.
[3] P. Christakoglou [ALICE Collaboration], J. Phys. G: Nucl. Part. Phys. 38 124165 (2011).
[4] Y. Hirono, M. Hongo, T. Hirano, and D. E. Kharzeev, in preparation."