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.

A few clarifications; Section 5 improved on chiral magnetic effect; references added; to appear in Phys. Rev. D

References in corpus (5)

• The Chiral Magnetic Effect
• Some Features of the Glasma
• Wilson loop and magnetic monopole through a non-Abelian Stokes theorem
• Chiral quark dynamics and topological charge: The role of the Ramond-Ramond U(1) Gauge Field in Holographic QCD
• Anomaly Inflow and Membrane Dynamics in the QCD Vacuum

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• Dissipative Callan-Harvey mechanism in 2+1 D Dirac system: The fate of edge states along a domain wall