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Effect of virtual pairs for relativistic bound-state problems
Phys. Rev. D 76, 045006 – Published 14 August, 2007
DOI: https://doi.org/10.1103/PhysRevD.76.045006
Abstract
We use the variational method within the Hamiltonian formalism of quantum field theory to derive relativistic two-, (four)-, and (six)-body wave equations for scalar particles interacting via a massive or massless mediating scalar field (the scalar Yukawa model). Fock-space variational trial states [] are used to derive the relativistic two-body system. The equations are shown to have the Schrödinger nonrelativistic limit, with Coulombic interparticle potentials in the case of a massless mediating field and Yukawa interparticle potentials in the case of a massive mediating field. The results show that the inclusion of virtual pairs has a large effect for the binding energy of the system at strong coupling. In the case of the discovery of a scalar Higgs particle in upcoming experiments, we may apply the present results to real, physical systems.
See Also
Relativistic three-body bound states in scalar QFT: Variational basis-state approach
Article Text
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