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

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.

17 pages, 5 figures

References in corpus (5)

• The Chiral Magnetic Effect
• Charge separation induced by P-odd bubbles in QCD matter
• Event-by-event fluctuations of magnetic and electric fields in heavy ion collisions
• Chiral Magnetic conductivity
• Lattice study of the chiral magnetic effect in a chirally imbalanced matter

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• Dynamics of the Chiral Magnetic Effect in a weak magnetic field
• Non-perturbative quantum time evolution on the light-front
• Local CP-violation and electric charge separation by magnetic fields from lattice QCD
• The Chern-Simons diffusion rate in strongly coupled N=4 SYM plasma in an external magnetic field
• A numerical study of non-perturbative corrections to the Chiral Separation Effect in quenched finite-density QCD
• The Chiral Magnetic Effect and Axial Anomalies
• Event-by-event background in estimates of the chiral magnetic effect
• Spin Physics through QCD Instantons
• Schwinger Pair Production in SL$(2,\mathbb{C})$ Topologically Non-Trivial Fields via Non-Abelian Worldline Instantons
• How to observe the QCD instanton/sphaleron processes at hadron colliders?
• Electric charge catalysis by magnetic fields and a nontrivial holonomy
• P-Odd Pion Azimuthal Charge Correlations in Heavy Ion Collisions
• Tensor supercurrent in QCD