Abstract
In (3 + 1)-dimensional SU(N c) Yang-Mills (YM) theory, the Chern-Simons diffusion rate, ΓCS, is determined by the zero-momentum, zero-frequency limit of the retarded two-point function of the CP-odd operator tr [F ∧ F ], with F the YM field strength. The Chern-Simons diffusion rate is a crucial ingredient for many CP-odd phenomena, including the chiral magnetic effect in the quark-gluon plasma. We compute ΓCS in the high-temperature, deconfined phase of Improved Holographic QCD, a refined holographic model for large-N c YM theory. Our result for ΓCS/(sT ), where s is entropy density and T is temperature, varies slowly at high T and increases monotonically as T approaches the transition temperature from above. We also study the retarded two-point function of tr [F ∧ F ] with non-zero frequency and momentum. Our results suggest that the CP-odd phenomena that may potentially occur in heavy ion collisions could be controlled by an excitation with energy on the order of the lightest axial glueball mass.
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ArXiv ePrint: 1212.3894
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Gürsoy, U., Iatrakis, I., Kiritsis, E. et al. The Chern-Simons diffusion rate in improved holographic QCD. J. High Energ. Phys. 2013, 119 (2013). https://doi.org/10.1007/JHEP02(2013)119
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DOI: https://doi.org/10.1007/JHEP02(2013)119