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Nonclassical analogs of solitons in quantum field theory

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Abstract

The possible existence of quantum copies of classical soliton solutions that cannot exist if the effective Planck constant γ of the theory tends to zero is discussed. In the framework of the standard expansion in √γ, such nonclassical solitons have energy of orderO(√γ) and thus occupy an intermediate position between purely classical configurations and second-quantized degrees of freedom. Analytic calculations are made for the profile functions, masses, and stability of such configurations in theϕ 4 kink model.

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Authors
  1. K. A. Sveshnikov
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Physics Faculty, Moscow State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 94, No. 1, pp. 52–65, January, 1993.

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Sveshnikov, K.A. Nonclassical analogs of solitons in quantum field theory. Theor Math Phys 94, 39–47 (1993). https://doi.org/10.1007/BF01016993

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