Abstract
At one loop, we provide an explicit formula for the ground state of the one- soliton sector in the sine-Gordon theory. The state is given in the basis of eigenstates of the field operator, or equivalently as a Schrodinger wave functional. The formula readily generalizes to other solitons in other models and as an example we also provide the ground state of the kink in the (1+1)-dimensional ϕ4 double well.
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ArXiv ePrint: 2003.11384
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Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
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Evslin, J. The ground state of the sine-Gordon soliton. J. High Energ. Phys. 2020, 99 (2020). https://doi.org/10.1007/JHEP07(2020)099
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DOI: https://doi.org/10.1007/JHEP07(2020)099