Spontaneous Symmetry Breaking and Reflectionless Scattering Data
arXiv:hep-th/0206199 · doi:10.1103/PhysRevD.67.025003
Abstract
We consider the question which potentials in the action of a (1+1) dimensional scalar field theory allowing for spontaneous symmetry breaking have quantum fluctuations corresponding to reflectionless scattering data. The general problem of restoration from known scattering data is formulated and a number of explicit examples is given. Only certain sets of reflectionless scattering data correspond to symmetry breaking and all restored potentials are similar either to the Phi**4-model or to the sine-Gordon model.
17 pages, 4 figures
References in corpus (1)
Cited by in corpus (14)
- Resonant kink-antikink scattering through quasinormal modes
- Classical behavior of deformed sine-Gordon models
- Kink scattering in hyperbolic models
- Quasinormal modes in kink excitations and kink-antikink interactions: a toy model
- Creation of Kink and Antikink Pairs Forced By Radiation
- New models for two real scalar fields and their kinklike solutions
- Quantum mass correction for the twisted kink
- From Supersymmetric Quantum Mechanics to Scalar Field Theories
- Novel connection between lump-like structures and quantum mechanics
- Novel results for kinklike structures and their connections to quantum mechanics
- From Scalar Field Theories to Supersymmetric Quantum Mechanics
- On self-gravitating kinks in two-dimensional pseudo-riemannian universes
- A novel connection between scalar field theories and quantum mechanics
- Tachyonic Instability and Darboux Transformation