Abstract
Relativistic heavy ion collisions represent an arena for the probe of various anomalous transport effects. Those effects, in turn, reveal the correspondence between the solid state physics and the high energy physics, which share the common formalism of quantum field theory. It may be shown that for the wide range of field–theoretic models, the response of various nondissipative currents to the external gauge fields is determined by the momentum space topological invariants. Thus, the anomalous transport appears to be related to the investigation of momentum space topology—the approach developed earlier mainly in the condensed matter theory. Within this methodology we analyse systematically the anomalous transport phenomena, which include, in particular, the anomalous quantum Hall effect, the chiral separation effect, the chiral magnetic effect, the chiral vortical effect and the rotational Hall effect.
Highlights
It is expected that the family of the non-dissipative transport effects [1,2,3,4,5,6,7,8] will be observed in non-central heavy ion collisions
We reviewed the application of momentum space topology to the analysis of anomalous transport reported earlier in our papers [34,35,40,47,50]
This methodology works in the lattice regularized relativistic quantum field theory, and may be applied to the solid state physics
Summary
It is expected that the family of the non-dissipative transport effects [1,2,3,4,5,6,7,8] will be observed in non-central heavy ion collisions. The majority of the above-mentioned non-dissipative transport effects were confirmed It was shown, for example, that the equilibrium CME does not exist. It is based on the lattice version of Wigner-Weyl formalism [36,37,38,39] This approach allows one to derive the AQHE [34] in 3 + 1 D Weyl semimetals, and the CSE [40] in the lattice regularized quantum field theory. It allows to derive the axial current of the CVE for the massless fermions at zero temperature. In [43], the Momentum space topology of QCD was considered while in [44] this approach was applied to Standard Model fermions
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