Submissions from Daniela A. Sysoeva

[1]  faKiv:1912.07577 [pdf]
The NAO model
Comments: 12 pages, 4 figures; v3: references updated, typos fixed

We study the NAO model in the large $N$ limit, and find that there are two kinds of NAO states: Naive and Qualified. The Naive NAO states have a class of $1/N$ gauge fields. There are two kinds of NAO states: Naive and Qualified. The Naive NAO states have a class of $1/N$ gauge fields while the Qualified NAO state has a class of $1/N$ gauge fields. We then study the NAO model in the large $N$ limit by using the $N$ limit of the two-dimensional NAO model. We find that there are two kinds of NAO states: Naive and Qualified.

[2]  faKiv:1912.08225 [pdf]
Perturbative Solitonization in the presence of a cosmological constant
Comments: 23 pages, 11 figures

In this paper we study perturbative solitonization in the presence of a cosmological constant. We find that when the mass of the scalar field is given by $m$ in the limit $m \leq 2m$, the soliton is induced by a cosmological constant and can be quantitatively determined by the choice of the number of vertices in the soliton. The solution of the perturbative solitonization equation is found to be a solution of the cosmological constant problem which is an exact solution to the classical Soliton Equation. This result extends the findings of the perturbative solitonization solution in the presence of a cosmological constant from the results for the standard solution. We also show that if the scalar field has a low energy, can be modified in the presence of a cosmological constant.