From Scalar Field Theories to Supersymmetric Quantum Mechanics

Abstract

In this work we report a new result that appears when one investigates the route that starts from a scalar field theory and ends on a supersymmetric quantum mechanics. The subject has been studied before in several distinct ways and here we unveil an interesting novelty, showing that the same scalar field model may describe distinct quantum mechanical problems.

arXiv comment6 pages, 4 figures; version to appear in MPLA

References in corpus (6)

• Supersymmetry and Quantum Mechanics
• Successive phase transitions and kink solutions in ${\varphi }^8$, ${\varphi }^{10}$, and ${\varphi }^{12}$ field theories
• Deformed defects for scalar fields with polynomial interactions
• New family of sine-Gordon models
• Reconstruction of field theory from excitation spectra of defects
• Spontaneous Symmetry Breaking and Reflectionless Scattering Data

Cited by in corpus (5)

• Long-range interactions of kinks
• Kinks and branes in models with hyperbolic interactions
• Novel results for kinklike structures and their connections to quantum mechanics
• Novel connection between lump-like structures and quantum mechanics
• A novel connection between scalar field theories and quantum mechanics