1210.5271 (Alexander Chigodaev)

Inter-Particle Potentials in Non-Linear Quantum Field Theories    [PDF]

Alexander Chigodaev

This research is concerned with the inter-particle potentials for few-particle bound state systems in a scalar model with a Higgs-like mediating field and QCD. The variational method, in a reformulated Hamiltonian formalism of QFT, is used to derive relativistic few particle wave equations and, consequently, the corresponding inter-particle potentials for stationary states of systems in question. The cubic and quartic contributions to the inter-particle potentials, in the non-relativistic limit, are expressed as multi-dimensional integrals. In the scalar Higgs-like model, when the mediator is massive, it is found that the non-linear terms modify the attractive Yukawa potential. In the case of QCD, the derived quark-antiquark potential is significantly affected by the non-linear terms and provides a signal of confinement.

View original: http://arxiv.org/abs/1210.5271