Abstract
With the view of investigating quantum effects in (1 + I)-dimensional scalar-field solitons, coupled equations for a soliton profile function and a background boson field are derived by the use of a squeezed coherent state and the time-dependent variational principle. These equations take the form of canonical equations of motion with the aid of canonicity conditions developed in the time dependent Hartree-Fock theory. They also incorporate self-consistent higher order quantum correc tions in the sense of the mean field theory. A method of heat-kernel expansion is developed to deal with. the background field of static solitons. At the semi-classical level, this method can reproduce the mass corrections obtained by WKB method with respect to the sine-Gordon system and <ft'-model.
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