1104.4769 (Alexander Chigodaev et al.)

Inter-particle potentials in a scalar QFT with a Higgs-like mediating
field    [PDF]

Alexander Chigodaev, Jurij W. Darewych

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.

View original: http://arxiv.org/abs/1104.4769