QCD Flux Tubes and Anomaly Inflow
Abstract
We apply the Callan-Harvey anomaly inflow mechanism to the study of QCD (chromoelectric) flux tubes, quark (pair)-creation and chiral magnetic effect, using new variables from the Cho-Faddeev-Niemi decomposition of the gauge potential. A phenomenological description of chromoelectric flux tubes is obtained by studying a gauged Nambu-Jona-Lasinio effective Lagrangian, derived from the original QCD Lagrangian. At the quantum level, quark condensates in the QCD vacuum may form a vortex-like structure in a chromoelectric flux tube. Quark zero modes trapped in the vortex are chiral and lead to a two-dimensional gauge anomaly. To cancel it an effective Chern-Simons coupling is needed and hence a topological charge density term naturally appears.
Cite
@article{arxiv.1302.7312,
title = {QCD Flux Tubes and Anomaly Inflow},
author = {Chi Xiong},
journal= {arXiv preprint arXiv:1302.7312},
year = {2013}
}
Comments
A few clarifications; Section 5 improved on chiral magnetic effect; references added; to appear in Phys. Rev. D