Abstract
The deformation method has generated many satisfactory results within the field theory, since it provides a simple and even didactic way of describing the structure of topological defects in several scenarios. It consists of generating new models from the potential and solution of a known model, with the aid of an appropriate deformation function, generating analytical solutions without having to resort to computational methods or numerical analysis. In this work, we demonstrate the different applications of the deformation method in real scalar field theory, ranging from the obtaining of potential polynomials through periodic dynamics models until, solving nonlinear differential equations and the study of cosmic inflation models in the slow-roll regime.
Keywords:
deformation method; deformation function; scalar field; nonlinear differential equations; cosmic inflation
