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arXiv · 1109.0020

Anomaly-induced charges in baryons

Minoru Eto·Koji Hashimoto·Hideaki Iida·Takaaki Ishii·Yu Maezawa
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Abstract

We show that quantum chiral anomaly of QCD in magnetic backgrounds induces a novel structure of electric charge inside baryons. To illustrate the anomaly effect, we employ the Skyrme model for baryons, with the anomaly-induced gauged Wess-Zumino term (π_0 + (multi-pion)) E_i B_i. Due to this term, the Skyrmions giving a local pion condensation ((π_0 + (multi-pion)) \neq 0) necessarily become a local charge source, in the background magnetic field B_i. We present detailed evaluation of the anomaly effects, and calculate the total induced charge, for various baryons in the magnetic field.

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Minoru Eto, Koji Hashimoto, Hideaki Iida, Takaaki Ishii, Yu Maezawa. 2011-08-31. Anomaly-induced charges in baryons. https://doi.org/10.1103/physrevd.85.114038

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