5 research outputs found
Inter-particle potentials in a scalar QFT with a Higgs-like mediating field
We study the inter-particle potentials for few-particle systems in a scalar
theory with a non-linear mediating field of the Higgs type. We use the
variational method, in a reformulated Hamiltonian formalism of QFT, to derive
relativistic three and four particle wave equations for stationary states of
these systems. We show that the cubic and quartic non-linear terms modify the
attractive Yukawa potentials but do not change the attractive nature of the
interaction if the mediating fields are massive.Comment: 22 pages, 8 figures, 3 appendice