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Quantization of solitons and quantum stability

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Abstract

Nonlinear field theories which are often studied perturbatively can be interpreted also in terms of their soliton solutions. In addition to states related to quantization of free-field modes, a set of various particles will be present. A quantum expansion of the scalar theory is given in terms of a coupling constant. There occur states associated with quantization of the free field modes but also heavy particles. The heavy particles have a new quantum number and will be stable. An interpretation of the stability of the particles as related to a topological property is also described.

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Authors and Affiliations

  1. Department of Mathematics, University of Texas, Edinburg, TX, 78540-2999, USA

    Paul Bracken

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  1. Paul Bracken
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Correspondence to Paul Bracken.

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Bracken, P. Quantization of solitons and quantum stability. Quantum Stud.: Math. Found. 4, 79–88 (2017). https://doi.org/10.1007/s40509-016-0090-x

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  • DOI: https://doi.org/10.1007/s40509-016-0090-x

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