Chiral And Parity Anomalies At Finite Temperature And Density

Details Chiral And Parity Anomalies At Finite Temperature And Density Chiral And Parity Anomalies At Finite Temperature And Density

1997-10-02

arxiv.org/abs/hep-th/9710022v1

Nucl.Phys. B518 (1998) 455-472

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1016/S0550-3213(98)00148-5

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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