Theoretical and Mathematical Physics

, Volume 108, Issue 2, pp 1019–1045 | Cite as

On the connection between discontinuous step-like and smooth kink-type classical solutions in quantum field theory

  • K. A. Sveshnikov
  • P. K. Silaev


A nonperturbative procedure for subtracting singularities caused by finite discontinuities of the field configurations is suggested. This procedure is applied to the Lorentz-covariant quantization of(1+1)-dimensional topological kinks. In the course of this procedure, “quantum copies” of a classical kink naturally appear. These copies have the same topological charge but have negligibly small sizes and masses because the subtraction procedure eliminates divergences caused by the field differentiations at the discontinuity points. These effects are investigated in detail for those(1+1)-dimensional scalar field models where classical kinks exist.


Field Theory Quantum Field Theory Scalar Field Classical Solution Field Model 
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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • K. A. Sveshnikov
    • 1
  • P. K. Silaev
    • 1
  1. 1.Department of Physics and Institute of Theoretical Problems of the MicroworldMoscow State UniversityUSSR

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