arXiv subjects
Publications and source records attributed to Gabriel H. Flores.
In this paper we review how to reconstruct scalar field theories in two dimensional spacetime starting from solvable Schrodinger equations. Three different Schrodinger potentials are analyzed. We obtained two new models starting from the Morse and Scarf II hyperbolic potentials, {\it i.e}, the $U(ϕ)=ϕ^2\ln^2(ϕ^2)$ model and $U(ϕ)=ϕ^2\cos^2(\ln(ϕ^2))$ model respectively.
Recently we constructed two new $(1+1)$-dimensional scalar field theory models that posses solitonic solutions. They are the $U(ϕ)=ϕ^2\ln^2(ϕ^2)$ and the $U(ϕ)=ϕ^2\cos^2(ϕ^2)$ 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.
We evaluate both the vacuum decay rate at zero temperature and the finite temperature nucleation rate for the $(λϕ^4/4! + σϕ^6/6!)_{3D}$ model. Using the thin-wall approximation, we obtain the bounce solution for the model and we were also able to give the approximate eigenvalue equations for the bounce.