1996/08/23 by A. N. Sissakian, Sissakian, A. N., O. Yu. Shevchenko +3
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum chaos and dynamical systems #Quantum many-body systems
paper · pdf · doi:10.48550/arxiv.hep-th/9608159
openalex publication_date 1996/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Chern-Simons topological term dynamical generation in the effective action is obtained at arbitrary finite density. By using the proper time method and perturbation theory it is shown that μ2 = m2 is the crucial point for Chern-Simons. So when μ2 < m2 μ--influence disappears and we get the usual Chern-Simons term. On the other hand when μ2 > m2 the Chern-Simons term vanishes because of non-zero density of background fermions. In particular for massless case parity anomaly is absent at any finite density. This result holds in any odd dimension as in abelian so as in nonabelian cases.