Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-12-29
Phys.Rev.D83:085007,2011
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, 4 figures; v2: added two references
Scientific paper
10.1103/PhysRevD.83.085007
We consider a relativistic plasma containing charged chiral fermions in an external magnetic field, e.g a chirally symmetric quark-gluon plasma created in relativistic heavy ion collisions. We show that triangle anomalies imply the existence of a new type of collective gapless excitation in this system that stems from the coupling between the density waves of the electric and chiral charges; we call it "the Chiral Magnetic Wave" (CMW). The CMW exists even in a neutral plasma, i.e. in the absence of the axial and vector chemical potentials. We demonstrate the existence of CMW and study its properties using three different approaches: i) relativistic magnetohydrodynamics; ii) dimensional reduction to $(1+1)$ Sine-Gordon model, appropriate in a strong magnetic field; and iii) holographic QCD (Sakai-Sugimoto model), appropriate at strong coupling. We also briefly discuss the phenomenological implications of the CMW for heavy ion collisions.
Kharzeev Dmitri E.
Yee Ho-Ung
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