Abstract
We review briefly a few topic concerning physics of fluids whose constituents are massless fermions interacting in chiral invariant way. Macroscopic manifestations of the chral anomaly is one of central issues. Another topic is ultraviolet vs infrared sensistivity of chiral magnetic and vortical effects. To clarify dynamical issues involved we rely mostly on a (well-known) toy model of pionic superfluidity.
Highlights
By chiral fluids one understands fluids whose constituents are massless fermions
If instead of the vacuum-to vacuum matrix elements one turns to the matrix elements over medium the expectation would be–we guess–that the effect of the anomaly is damped down
As we argue in the subsection, knowing Eq (23) allows for a quick derivation of the chiral magnetic effect
Summary
By chiral fluids one understands fluids whose constituents are massless fermions. In presence of external electric and magnetic fields there arises the chiral anomaly, as usual. Turn first to chiral magnetic effect, see the term proportional to Canom in the first line of the expression (1). The puzzle is that there is no microscopic mechanism known which would result in dissipation-free transport in case of the chiral magnetic current. The other observation in point is that the currents (1) unify helical motions of macroscopic and microscopic degrees of freedom. There arises a similar mixing between helicity of macroscopic magnetic fields and difference in number of right- and left-handed photons. It is the instability induced by the mixing of the two electromagnetic terms which was studied in most detail [6,7,8]. The reader is referred to the corresponding original papers as well as review papers for more comprehensive lists of references
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