Fluctuations of fractional charge in soliton anti-soliton systems |
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Authors: | R Jackiw AK Kerman I Klebanov G Semenoff |
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Institution: | Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts USA 02139 |
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Abstract: | The total charge in a soliton-anti-soliton system has integer eigenvalues. However, when soliton-induced charge fractionization occurs, it is possible to make a Bogoliubov transformation on the eigenstates of the total charge, so that in the limit of infinite soliton anti-soliton separation., the transformed states become eigenstates of a charge operator suitably localized at the soliton. In the limit, the localized charge operator has fractional eigenvalues, without fluctuations. |
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