Macroscopic parity violating effects and 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.

6 pages, RevTex file, no figures, modified after referee report

References in corpus (7)

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• Observation of Induced Chern-Simons Term in P- and T- violating Superconductors
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• Cross-Correlated Responses of Topological Superconductors and Superfluids
• Anomalous effects of dense matter under rotation
• Global Anomalies, Discrete Symmetries, and Hydrodynamic Effective Actions
• From Standard Model of particle physics to room-temperature superconductivity
• Radiative Effects in the Standard Model Extension
• Chiral and Gravitational Anomalies on Fermi Surfaces
• Anomalies and the Helicity of the Thermal State
• Chiral Heat Wave and mixing of Magnetic, Vortical and Heat waves in chiral media
• Chern-Simons like term generation in an extended model of QED under external conditions
• On thermal Nieh-Yan anomaly in Weyl superfluids
• The chiral magnetic wave in an expanding QCD fluid
• On thermal Nieh-Yan anomaly in topological Weyl materials
• Synchrotron Radiation in the Standard Model Extension
• Anomalous chiral transport with vorticity and torsion: Cancellation of two mixed gravitational anomaly currents in rotating chiral $p+ip$ Weyl condensates
• Contribution of the chiral vortical effect to the evolution of the hypermagnetic field and the matter-antimatter asymmetry in the early Universe
• Connection between response parameter and anomaly coefficient in two dimensional anomalous fluid
• Chiral Vortical Effect in Fermi Liquid