Confinement in a Model with Condensate of the Scalar Field

TL;DR

This paper explores a model of 'soft' confinement using three interacting scalar fields, deriving an effective potential that confines particles and relates hadron lifetime to Higgs boson properties.

Contribution

It introduces a specific effective potential model with scalar fields that explains confinement and connects hadron lifetime to Higgs boson mass.

Findings

Effective potential causes particle confinement within limited space.

Hadrons with lifetime equal to the Universe's age imply Higgs mass > 63.7 GeV.

Model suggests a link between confinement dynamics and Higgs properties.

Abstract

The idea of ``soft'' confinement when the lifetime of hadron with respect to quark-gluon channel of decay is greater or at least of the order of some characteristic time for our Universe is considered. Within the framework of a model of three nonlinearly interacting fields the explicit form of an effective potential is found. It provides the confinement of a massive particle within the limited region of space by means of constant component of the potential which arises as a result of reorganization of vacuum of one of the scalar fields. It is shown that the lifetime of hadron being equal to the age of the Universe leads to the Higgs boson with the mass m > 63.7 GeV and realistic self-constant.