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arXiv · 1112.0532

Electric dipole moment induced by a QCD instanton in an external magnetic field

Gokce Basar·Gerald V. Dunne·Dmitri E. Kharzeev
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Abstract

In the chiral magnetic effect, there is a competition between a strong magnetic field, which tends to project positively charged particles to have spin aligned along the magnetic field, and a chirality imbalance which may be produced locally by a topologically nontrivial gauge field such as an instanton. We study the properties of the Euclidean Dirac equation for a light fermion in the presence of both a constant abelian magnetic field and an SU(2) instanton. In particular, we analyze the zero modes analytically in various limits, both on R^4 and on the four-torus, in order to compare with recent lattice QCD results, and study the implications for the electric dipole moment.

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Gokce Basar, Gerald V. Dunne, Dmitri E. Kharzeev. 2011-12-02. Electric dipole moment induced by a QCD instanton in an external magnetic field. https://doi.org/10.1103/physrevd.85.045026

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