Soliton structures inP(φ)2

Abstract

We investigate general soliton features of a scalar field theory in two dimensions with polynomial selfinteractions. The static solution and its linear fluctuations are discussed in general and detailed calculations carried out for ${\phi }^6$ and ${\phi }^8$ models. For ${\phi }^6$ the linear fluctuations can be analyzed explicitly, enabling quantum effects to be evaluated. As a result we are able to show that the first-order soliton mass correction is finite.