Quantum Properties of Solitons in $U(φ)=φ^2\ln^2(φ^2)$ and $U(φ)=φ^2\cos^2(φ^2)$ Models

Details Quantum Properties of Solitons in $U(φ)=φ^2\ln^2(φ^2)$ and $U(φ)=φ^2\cos^2(φ^2)$ Models Quantum Properties of Solitons in $U(φ)=φ^2\ln^2(φ^2)$ and $U(φ)=φ^2\cos^2(φ^2)$ Models

2001-11-12

arxiv.org/abs/hep-th/0111108v1

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 4 figures

Scientific paper

Recently we constructed two new $(1+1)$-dimensional scalar field theory models that posses solitonic solutions. They are the $U(\phi)=\phi^2\ln^2(\phi^2)$ and the $U(\phi)=\phi^2\cos^2(\phi^2)$ models . The first quantum corrections for these models are given by exactly solvable Schrodinger equations. In this paper we first examine the quantum meaning of the solitonic solutions and study the scattering of the mesons by the quantum soliton at order $\hbar$. Finally we give a finite expression for the soliton masses of both models and evaluate such expression approximately in the case of the second model.

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