TY - JOUR

T1 - Fluctuations of fractional charge in soliton anti-soliton systems

AU - Jackiw, R.

AU - Kerman, A. K.

AU - Klebanov, I.

AU - Semenoff, G.

N1 - Funding Information:
observable. Some of the material is drawn from an MIT B.S. thesis by one of us (I.K.). The work is supported in part through funds provided by the US Department of Energy, under contract DE-AC02-76ER03069 and by the Natural Sciences and Engineering Research Council of Canada.

PY - 1983/10/31

Y1 - 1983/10/31

N2 - 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.

AB - 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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U2 - 10.1016/0550-3213(83)90051-2

DO - 10.1016/0550-3213(83)90051-2

M3 - Article

AN - SCOPUS:0001572341

SN - 0550-3213

VL - 225

SP - 233

EP - 246

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 2

ER -