Koichi Hattori (Zheijan University): Chiral magnetohydrodynamics and a parity-odd hydrodynamic instability induced by chiral magnetic effect

I first discuss recent reformulation of relativistic magnetohydrodynamics (MHD) based on the conservation of magnetic flux and find seven dissipative transport coefficients within the first order in a derivative expansion [1,2,3]. I then introduce an axial charge density that breaks parity invariance and formulate chiral MHD based on chiral anomaly equation. I discuss a derivation of chiral magnetic effect in chiral MHD and finally point out occurrence of a new hydrodynamic instability based on the solutions for chiral MHD near an equilibrium state [1].

[1] K. Hattori, Y. Hirono, H.-U. Yee, Y. Yin, “MagnetoHydrodynamics with chiral anomaly: phases of collective excitations and instabilities”, 1711.08450 [hep-th]

[2] M. Hongo and K. Hattori, “Revisiting relativistic magnetohydrodynamics from quantum electrodynamics”, 2005.10239 [hep-th]

[3] K. Hattori, M. Hongo, and X-G. Huang, “New Developments in Relativistic Magnetohydrodynamics”, 2207.12794 [hep-th]