Chern-Simons term at finite density

The Chern-Simons topological term coefficient is derived at arbitrary finite density. As it occures that \(\mu^2 = m^2\) is the crucial point for Chern-Simons. 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 C...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 1997-05
Main Authors: Sissakian, A N, O Yu Shevchenko, Solganik, S B
Format: Article
Language:English
Subjects:
Density
Fermions
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The Chern-Simons topological term coefficient is derived at arbitrary finite density. As it occures that \(\mu^2 = m^2\) is the crucial point for Chern-Simons. 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. 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.
ISSN:2331-8422
DOI:10.48550/arxiv.9612140