Deformed Defects

TL;DR

This paper presents a general method to generate new scalar field theories with defect solutions from existing ones, applicable to topological and non-topological defects, and extendable to quantum mechanics and fermionic couplings.

Contribution

It introduces a novel, versatile procedure to deform scalar field theories supporting defect solutions, broadening the scope of analytical defect construction.

Findings

Method successfully generates new defect-supporting theories.

Applicable to both topological and non-topological defects.

Extended to quantum mechanics and fermion coupling scenarios.

Abstract

We introduce a method to obtain deformed defects starting from a given scalar field theory which possesses defect solutions. The procedure allows the construction of infinitely many new theories that support defect solutions, analytically expressed in terms of the defects of the original theory. The method is general, valid for both topological and non-topological defects, and we show how it extends to quantum mechanics, and how it works when the scalar field couples to fermions. We illustrate the general procedure with several examples, which support kink-like or lump-like defects.