TL;DR
This paper investigates how infrared divergence in a boson field affects a particle's dynamics, leading to superselection rules for momentum and ensuring the total Hamiltonian remains bounded.
Contribution
It reveals that infrared divergence induces superselection rules for particle momentum, impacting the boundedness of the Hamiltonian in particle-boson systems.
Findings
Infrared divergence causes superselection rules for momentum.
The total Hamiltonian remains bounded from below.
Infrared effects influence particle dynamics and system stability.
Abstract
The dynamics of a particle which is linearly coupled to a boson field is investigated. The boson field induces superselection rules for the momentum of the particle, if the field is infrared divergent. Thereby the Hamiltonian of the total system remains bounded from below.
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