Enhanced binding of an N-particle system interacting with a scalar field II.Relativistic version

TL;DR

This paper investigates how a system of relativistic particles interacting with a massless scalar field can develop a ground state at strong coupling, emphasizing the role of infrared regularization and stability conditions.

Contribution

It demonstrates the existence of a ground state for relativistic N-particle systems coupled to a massless scalar field at sufficiently large coupling, without assuming a ground state at zero coupling.

Findings

Existence of ground state at large coupling

Uniform exponential decay of infrared regularized ground states

Stability condition verified for the system

Abstract

An enhanced binding of $N$-{\it relativistic} particles coupled to a massless scalar bose field is investigated. It is not assumed that the system has a ground state for the zero-coupling. It is shown, however, that there exists a ground state for sufficiently large coupling. The proof is based on checking the stability condition and showing a uniform exponential decay of infrared regularized ground states.