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27 December 2024
 
  » arxiv » hep-th/9710022

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Chiral And Parity Anomalies At Finite Temperature And Density
A. N. Sissakian ; O. Yu. Shevchenko ; S. B. Solganik ;
Date 2 Oct 1997
Journal Nucl.Phys. B518 (1998) 455-472
Subject hep-th
AbstractTwo 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.
Source arXiv, hep-th/9710022
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