Reconstruction of field theory from excitation spectra of defects
arXiv:hep-th/0309086 · doi:10.1103/PhysRevD.69.043510
Abstract
We show how to reconstruct a field theory from the spectrum of bound states on a topological defect. We apply our recipe to the case of kinks in 1+1 dimensions with one or two bound states. Our recipe successfully yields the sine-Gordon and field theories when suitable bound state spectra are assumed. The recipe can also be used to globally reconstruct the inflaton potential of inflationary cosmology if the inflaton produces a topological defect. We discuss how defects can provide ``smoking gun'' evidence for a class of inflationary models.
arXiv comment10 pages, 4 figures. Included proof (Appendix B) that wall fluctuation potentials have supersymmetric form. Added references
References in corpus (13)
- Reconstructing the Inflaton Potential --- an Overview
- Topological Inflation
- Non-Thermal Phase Transitions after Inflation
- Monopoles as Big as a Universe
- Cosmic strings from preheating
- Phase transitions from preheating in gauge theories
- An Attempt to Construct the Standard Model with Monopoles
- Domain Walls in SU(5)
- Remarks on Cosmic String Formation during Preheating on Lattice Simulations
- Inflation After Preheating
- A class of kinks in SU(N)\times Z_2
- Creation and Structure of Baby Universes in Monopole Collisions
- On the Scalar Potential Models from the Isospectral Potential Class
Cited by in corpus (13)
- Dark energy, the electroweak vacua and collider phenomenology
- Dark energy, the colored anti-de Sitter vacuum, and LHC phenomenology
- Classical behavior of deformed sine-Gordon models
- From Supersymmetric Quantum Mechanics to Scalar Field Theories
- Supersymmetry, shape invariance and the Legendre equations
- Stability Equation and Two-Component Eigenmode for Domain Walls in a Scalar Potential Model
- Novel results for kinklike structures and their connections to quantum mechanics
- Novel connection between lump-like structures and quantum mechanics
- From Scalar Field Theories to Supersymmetric Quantum Mechanics
- Quantum kink and its excitations
- A novel connection between scalar field theories and quantum mechanics
- q-Deformed Kink Solutions
- On Matrix Superpotential and Three-Component Normal Modes