Macroscopic parity violating effects and 3He-A
G.E. Volovik, A. Vilenkin

TL;DR
This paper explores parity violation effects in relativistic quantum theory and superfluid 3He-A, highlighting how certain topological terms influence chiral fermion flux and rotational properties in these systems.
Contribution
It identifies the role of a mixed axial-gravitational Chern-Simons term in linking relativistic effects with superfluid 3He-A phenomena.
Findings
Chiral fermion flux along rotation axis in relativistic systems.
Omega-odd dependence of normal component density in 3He-A.
Analogous effects between relativistic quantum theory and superfluid 3He-A.
Abstract
We discuss parity violating effects in relativistic quantum theory and their analogues in effective field theory of superfluid 3He-A. A mixed axial-gravitational Chern-Simons term in the relativistic effective action and its condensed matter analog are responsible for the chiral fermion flux along the rotation axis of the heat bath in relativistic system and for the unusual Omega-odd dependence of the zero-temperature density of the normal component on the rotation velocity in 3He-A.
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