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THE INTERNATIONAL SERIES OF MONOGRAPHS ON PHYSICS ...

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xiv<br />

17.3.8 AB-interface and monopole ‘erasure’ 228<br />

17.3.9 Alice string at interface 229<br />

IV ANOMALIES <strong>OF</strong> CHIRAL VACUUM<br />

18 Anomalous non-conservation of fermionic charge 235<br />

18.1 Chiral anomaly 236<br />

18.1.1 Pumping the charge from the vacuum 236<br />

18.1.2 Chiral particle in magnetic field 237<br />

18.1.3 Adler–Bell–Jackiw equation 238<br />

18.2 Anomalous non-conservation of baryonic charge 239<br />

18.2.1 Baryonic asymmetry of Universe 239<br />

18.2.2 Electroweak baryoproduction 240<br />

18.3 Analog of baryogenesis in A-phase 241<br />

18.3.1 Momentum exchange between moving vacuum<br />

and matter 241<br />

18.3.2 Chiral anomaly in 3 He-A 243<br />

18.3.3 Spectral-flow force acting on a vortex-skyrmion 244<br />

18.3.4 Topological stability of spectral-flow force 246<br />

18.3.5 Dynamics of Fermi points and vortices 246<br />

18.3.6 Vortex as a mediator of momentum exchange.<br />

Magnus force 247<br />

18.4 Experimental check of Adler–Bell–Jackiw equation 248<br />

19 Anomalous currents 251<br />

19.1 Helicity in parity-violating systems 251<br />

19.2 Chern–Simons energy term 252<br />

19.2.1 Chern–Simons term in Standard Model 252<br />

19.2.2 Chern–Simons energy in 3 He-A 254<br />

19.3 Helical instability and magnetogenesis 255<br />

19.3.1 Relevant energy terms 255<br />

19.3.2 Mass of hyperphoton due to excess of chiral<br />

fermions 256<br />

19.3.3 Helical instability condition 257<br />

19.3.4 Mass of hyperphoton due to symmetry-violating<br />

interaction 258<br />

19.3.5 Experimental ‘magnetogenesis’ in 3 He-A 259<br />

20 Macroscopic parity-violating effects 260<br />

20.1 Mixed axial–gravitational Chern–Simons term 260<br />

20.1.1 Parity-violating current 260<br />

20.1.2 Parity violation and gravimagnetic field 261<br />

20.2 Orbital angular momentum in A-phase 262<br />

20.3 Odd current in A-phase 263<br />

21 Quantization of physical parameters 266

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