A novel connection between scalar field theories and quantum mechanics
arXiv:1802.09912 · doi:10.1209/0295-5075/121/10006
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.
5 pages, 9 figures. To appear in EPL
References in corpus (13)
- Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems
- Magnetic domain walls in constrained geometries
- Deformed defects for scalar fields with polynomial interactions
- Kinks in a non-linear massive sigma model
- Creating kinks from particles
- Motion of domain walls and the dynamics of kinks in the magnetic Peierls potential
- How to build a compact brane
- Metastable Kinks in the Orbifold
- Kinks and branes in models with hyperbolic interactions
- From Supersymmetric Quantum Mechanics to Scalar Field Theories
- Corrections to Newton's law of gravitation in the context of codimension-1 warped thick braneworlds
- Multikink solutions and deformed defects
- Getting inflationary models using the deformation method