String-Like Electrostatic Interaction from QED with Infinite Magnetic Field

A.E. Shabad (1) , V.V. Usov (2) (1) (P.N. Lebedev Physics Institute , Moscow , Russia) (2) (Center for Astrophysics , Weizmann Institute of Science , Rehovot , Israel)

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classification ✦ hep-th astro-phhep-latphysics.atom-ph

keywords fieldstringchargeinfinitemagneticalongbreakingclose

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In the limit of infinite external magnetic field B the static field of an electric charge is squeezed into a string parallel to B. Near the charge the potential grows like |x_3|(ln |x_3| + const) with the coordinate x_3 along the string. The energy of the string breaking is finite and very close to the effective photon mass.

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String-Like Electrostatic Interaction from QED with Infinite Magnetic Field

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