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Chiral And Parity Anomalies At Finite Temperature And Density
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abstract
Two closely related topological phenomena are studied at finite density and temperature. These are chiral anomaly and Chern-Simons term. By using different methods it is shown that $\mu^2 = m^2$ is the crucial point for Chern-Simons at zero temperature. So when $\mu^2 < m^2$ $\mu$--influence disappears and we get the usual Chern-Simons term. On the other hand when $\mu^2 > m^2$ the Chern-Simons term vanishes because of non-zero density of background fermions. It is occurs that the chiral anomaly doesn't depend on density and temperature. The connection between parity anomalous Chern-Simons and chiral anomaly is generalized on finite density. These results hold in any dimension as in abelian, so as in nonabelian cases.
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Cited by 1 Pith paper
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Examining the Anomalous Nature of Chiral Effects in Thermodynamics
The chiral anomaly acquires local-temperature and chemical-potential terms that produce the chiral separation and vortical effects, and it vanishes at global equilibrium.
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