A novel connection between scalar field theories and quantum mechanics

TL;DR

This paper explores a new method linking scalar field theories and supersymmetric quantum mechanics, enabling the generation of diverse models sharing the same quantum potential through an algorithmic deformation process.

Contribution

It introduces a novel deformation-based approach to construct scalar field theories that correspond to identical quantum mechanics potentials, expanding the toolkit for theoretical model building.

Findings

Generated families of scalar field theories with shared quantum potentials

Demonstrated an algorithmic procedure for model construction

Connected deformation techniques with supersymmetric quantum mechanics

Abstract

This work deals with scalar field theories and supersymmetric quantum mechanics. The investigation is inspired by a recent result, which shows how to use the reconstruction mechanism to describe two distinct field theories from the very same quantum mechanics potential, and by an older work, which describes the deformation procedure that offers an interesting way to generate and solve new scalar field theories, starting from a given model of current interest. We use the procedure to unveil a new route, from which one can describe families of scalar field theories that engender the very same quantum mechanics potential. The approach can be applied algorithmically, and implemented to generate models that give rise to distinct quantum mechanics systems as well.