On three dimensional coupled bosons

Abstract

This is a new version of the paper, which uses the same methods as in the previous version, but the model is now different. We study two complex scalar fields coupled through a quadratic interaction in 2+1 dimensions. We use the method of bilinears as suggested by Rajeev. The resulting classical theory is studied within the linear approximation and we show that there is a possible bound state for the composite type particles for a range of coupling constant strengths.

12 pages, to appear in JMP

References in corpus (5)

• Bound states and glueballs in three-dimensional Ising systems
• Mesons in Light-Front QCD${}_{2+1}$: Investigation of a Bloch Effective Hamiltonian
• Large N limit of SO(N) scalar gauge theory
• Supergrassmannian and large N limit of quantum field theory with bosons and fermions
• Large N limit of SO(N) gauge theory of fermions and bosons