STATIC FINITE-ENERGY SOLUTIONS OF A CLASSICAL FIELD-THEORY WITH POSITIVE MASS-SQUARE

Static finite energy solutions of the field theory described by {Mathematical expression} are obtained. Some of the interesting features of this model are (1) the mass-square here is positive unlike in the λφ4 Higg's model, (2) the potential has three global minimas, (3) the spectrum is bounded from below unlike in the λφ4 theory with λ<0, (4) there are two kink and two antikink solutions, (5) unlike sine-Gordon and λφ4 models here there are two particles with masses m and 2 m. Nontopological finite energy solutions have also been obtained for gφ 6 field theory with g < 3λ 2 / 16 m 2. © 1979 D. Reidel Publishing Company.