Static finite energy solutions of a classical field theory with positive mass-square

Abstract

Static finite energy solutions of the field theory described by L=½∂_μφ∂_μφ-(m²/2)φ²(1-λφ²/4m²))² 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 2m. Nontopological finite energy solutions have also been obtained for gf 6 field theory with g<3λ²/16m².