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

Abstract

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.

22 pages, 8 figures, 3 appendices

References in corpus (3)

• A variational calculation of particle-antiparticle bound states in the scalar Yukawa model
• Variational Two Fermion Wave Equations in QED: Muonium Like Systems
• Relativistic Three-Fermion Wave Equations in Reformulated QED and Relativistic Effects in Muonium Minus