Interparticle forces in scalar QFTs with a Higgs-like mediating field

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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24 pages, 8 figures, 3 appendices

Scientific paper

We study the interparticle 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, which are dominant at small interparticle distances, by new terms that produce confining and quasi-confining interparticle potentials.

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