Foundations of Physics

, Volume 16, Issue 2, pp 171–185 | Cite as

Momentum projection of solitons including quantum corrections

  • Lawrence Wilets
Part I. Invited Papers Dedicated To John Archibald Wheeler

Abstract

The method of projection is applied to a relativistic field theory of fermions interacting with a nonlinear scalar field, specifically the Friedberg-Lee soliton model. Projection is effected by operating on a localized “bag” state with the translation operator exp (iP·Z), and integrating overZ. The resulting state is an eigenstate of zero momentum. The energy and the expectation value of other physical operators can be expressed as Gaussian moments of the Hamiltonian or the physical operator times powers of the momentum operator taken with respect to the bag state. Renormalization in the one-loop approximation is discussed in detail for the boson sector, and briefly for the fermion sector. The method can be tested for convergence against nonexpansion techniques. The latter, however, cannot so easily handle distortion of the Bose modes or the distortion of the Dirac sea.

Keywords

Soliton Physical Operator Scalar Field Quantum Correction Relativistic Field 

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Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • Lawrence Wilets
    • 1
  1. 1.Institute for Nuclear Theory, Department of Physics, FM-15University of WashingtonSeattle

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