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 o...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2012-05
Main Authors: Chigodaev, Alexander, Darewych, Jurij W
Format: Article
Language:English
Subjects:
Relativistic particles
Wave equations
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1104.4769