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arXiv · 1104.4769

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

Alexander Chigodaev·Jurij W. Darewych
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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.

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Alexander Chigodaev, Jurij W. Darewych. 2011-04-25. Inter-particle potentials in a scalar QFT with a Higgs-like mediating field. https://doi.org/10.1139/cjp-2012-0251

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