Chiral and parity anomalies at finite temperature and density

Two closely related topological phenomena are studied at finite density and temperature. These are the chiral anomaly and the Chern-Simons term. Using different methods it is shown that μ 2 = m 2 is the crucial point for Chern-Simons at zero temperature. So when μ 2 < m 2 the μ influence is absen...

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Bibliographic Details
Published in:Nuclear physics. B 1998-05, Vol.518 (1), p.455-472
Main Authors: Sissakian, A.N., Shevchenko, O.Yu, Solganik, S.B.
Format: Article
Language:English
Subjects:
Chern-Simons
Chiral anomaly
Finite density
Finite temperature
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Summary:Two closely related topological phenomena are studied at finite density and temperature. These are the chiral anomaly and the Chern-Simons term. Using different methods it is shown that μ 2 = m 2 is the crucial point for Chern-Simons at zero temperature. So when μ 2 < m 2 the μ influence is absent and we obtain the usual Chern-Simons term. On the other hand, when μ 2 m 2 the Chern-Simons term vanishes because of the non-zero density of the background fermions. The chiral anomaly does not depend on density and temperature. The connection between parity anomalous Chern-Simons and the chiral anomaly is generalized at finite density. These results hold in any dimension in abelian and in non-abelian cases.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(98)00148-5